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Simulation of Correlated Quantum Many Body Systems

Titel Englisch Simulation of Correlated Quantum Many Body Systems
Gesuchsteller/in Troyer Matthias
Nummer 140224
Förderungsinstrument Projektförderung (Abt. I-III)
Forschungseinrichtung Institut für Theoretische Physik ETH Zürich
Hochschule ETH Zürich - ETHZ
Hauptdisziplin Theoretische Physik
Beginn/Ende 01.04.2012 - 31.03.2015
Bewilligter Betrag 555'000.00
Alle Daten anzeigen

Alle Disziplinen (2)

Disziplin
Theoretische Physik
Andere Gebiete der Physik

Keywords (7)

condensed matter physics; Monte Carlo simulations; computational physics; computer simulations of quantum systems; fermion sign problem; quantum phase transitions; statistical physics

Lay Summary (Englisch)

Lead
Lay summary

Strong interactions between the electrons in some materials cause interesting electronic and magnetic properties that are very hard to understand theoretically. Here progress can be made by using another physical system, gases of ultra cold atoms, to mimic the properties of electrons in a solid. Such ultra cold gases are a much simpler and cleaner system than electrons in a  complicated material and thus provide an ideal testing ground for new numerical methods to study interacting quantum systems. 


The goal of the current project is to apply methods designed for the simulation of electrons in solids to the simulation of these ultra cold gases, to then improve these methods by comparing them to controlled experiments on, and to finally apply the improved methods again to electrons.




Direktlink auf Lay Summary Letzte Aktualisierung: 21.02.2013

Verantw. Gesuchsteller/in und weitere Gesuchstellende

Mitarbeitende

Publikationen

Publikation
Superfluidity and density order in a bilayer extended Hubbard model
Vanhala Tuomas I., Baarsma Jildou E., Heikkinen Miikka O J, Troyer Matthias, Harju Ari, Törmä Päivi (2015), Superfluidity and density order in a bilayer extended Hubbard model, in Physical Review B - Condensed Matter and Materials Physics, 91(14), 144510.
Fermionic quantum critical point of spinless fermions on a honeycomb lattice
Wang Lei, Corboz Philippe, Troyer Matthias (2014), Fermionic quantum critical point of spinless fermions on a honeycomb lattice, in NEW JOURNAL OF PHYSICS, 16, 103008.
Ferromagnetism of a Repulsive Atomic Fermi Gas in an Optical Lattice: A Quantum Monte Carlo Study
Pilati S., Zintchenko I., Troyer M. (2014), Ferromagnetism of a Repulsive Atomic Fermi Gas in an Optical Lattice: A Quantum Monte Carlo Study, in PHYSICAL REVIEW LETTERS, 112(1), 011603.
Interaction effects on topological phase transitions via numerically exact quantum Monte Carlo calculations
Hung Hsiang-Hsuan, Chua Victor, Wang Lei, Fiete Gregory A. (2014), Interaction effects on topological phase transitions via numerically exact quantum Monte Carlo calculations, in PHYSICAL REVIEW B, 89(23), 235104.
Nonlocal quantum fluctuations and fermionic superfluidity in the imbalanced attractive hubbard model
Heikkinen M. O J, Kim D. H., Troyer M., Törmä P. (2014), Nonlocal quantum fluctuations and fermionic superfluidity in the imbalanced attractive hubbard model, in Physical Review Letters, 113(18), 185301.
Renyi Entanglement Entropy of Interacting Fermions Calculated Using the Continuous-Time Quantum Monte Carlo Method
Wang Lei, Troyer Matthias (2014), Renyi Entanglement Entropy of Interacting Fermions Calculated Using the Continuous-Time Quantum Monte Carlo Method, in PHYSICAL REVIEW LETTERS, 113(11), 110401.
Seeing Hofstadter's butterfly in atomic Fermi gases
Wang Lei, Troyer Matthias (2014), Seeing Hofstadter's butterfly in atomic Fermi gases, in PHYSICAL REVIEW A, 89(1), 011603.
Thermodynamics and Magnetic Properties of the Anisotropic 3D Hubbard Model
Imriska Jakub, Iazzi Mauro, Wang Lei, Gull Emanuel, Greif Daniel, Uehlinger Thomas, Jotzu Gregor, Tarruell Leticia, Esslinger Tilman, Troyer Matthias (2014), Thermodynamics and Magnetic Properties of the Anisotropic 3D Hubbard Model, in PHYSICAL REVIEW LETTERS, 112(11), 115301.
Thermodynamics and Magnetic Properties of the Anisotropic 3D Hubbard Model
Imriska Jakub, Iazzi Mauro, Wang Lei, Gull Emanuel, Greif Daniel, Uehlinger Thomas, Jotzu Gregor, Tarruell Leticia, Esslinger Tilman, Troyer Matthias (2014), Thermodynamics and Magnetic Properties of the Anisotropic 3D Hubbard Model, in PHYSICAL REVIEW LETTERS, 112(11), 115301.
Topological phase transition in the Hofstadter-Hubbard model
Wang Lei, Hung Hsiang-Hsuan, Troyer Matthias (2014), Topological phase transition in the Hofstadter-Hubbard model, in PHYSICAL REVIEW B, 90(20), 205111.
Double transfer through Dirac points in a tunable honeycomb optical lattice
Uehlinger Thomas, Greif Daniel, Jotzu Gregor, Tarruell Leticia, Esslinger Tilman, Wang Lei, Troyer Matthias (2013), Double transfer through Dirac points in a tunable honeycomb optical lattice, in EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 217(1), 121-133.
Néel temperature and thermodynamics of the half-filled three-dimensional Hubbard model by diagrammatic determinant Monte Carlo
Kozik Evgeny V., Burovski Evgeni A., Scarola Vito W., Troyer Matthias L. (2013), Néel temperature and thermodynamics of the half-filled three-dimensional Hubbard model by diagrammatic determinant Monte Carlo, in Physical Review B - Condensed Matter and Materials Physics, 87(20), 205102.
One-dimensional Bose-Hubbard model far from equilibrium
Pižorn Iztok (2013), One-dimensional Bose-Hubbard model far from equilibrium, in Physical Review A - Atomic, Molecular, and Optical Physics, 88(4), 043635.
Pomeranchuk Cooling of SU(2N) Ultracold Fermions in Optical Lattices
Cai Zi, Hung Hsiang-hsuan, Wang Lei, Zheng Dong, Wu Congjun (2013), Pomeranchuk Cooling of SU(2N) Ultracold Fermions in Optical Lattices, in PHYSICAL REVIEW LETTERS, 110(22), 220401.
Proposal for Direct Measurement of Topological Invariants in Optical Lattices
Wang Lei, Soluyanov Alexey, Troyer Matthias (2013), Proposal for Direct Measurement of Topological Invariants in Optical Lattices, in Physical Review Letters, 110, 166802.
Proposal for direct measurement of topological invariants in optical lattices
Wang Lei, Soluyanov Alexey A., Troyer Matthias L. (2013), Proposal for direct measurement of topological invariants in optical lattices, in Physical Review Letters, 110(16), 166802.
Quantum magnetic properties of the SU(2N) Hubbard model in the square lattice: A quantum Monte Carlo study
Cai Zi, Hung HsiangHsuan, Wang Lei, Wu Congjun (2013), Quantum magnetic properties of the SU(2N) Hubbard model in the square lattice: A quantum Monte Carlo study, in Physical Review B - Condensed Matter and Materials Physics, 88(12), 125108.
Supersymmetric multicritical point in a model of lattice fermions
Bauer Bela, Huijse Liza, Berg Erez A Torres, Troyer Matthias, Schoutens Kareljan (2013), Supersymmetric multicritical point in a model of lattice fermions, in Physical Review B - Condensed Matter and Materials Physics, 87(16), 165145.
Topological charge pumping in a one-dimensional optical lattice
Wang Lei, Troyer Matthias L., Dai Xi (2013), Topological charge pumping in a one-dimensional optical lattice, in Physical Review Letters, 111(2), 026802.
Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined quantum Monte Carlo and Green's function study
Hung Hsiang-Hsuan, Wang Lei, Gu Zheng-Cheng, Fiete Gregory A. (2013), Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined quantum Monte Carlo and Green's function study, in PHYSICAL REVIEW B, 87(12), 121113(R).
Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined quantum Monte Carlo and Green's function study
Hung Hsiang-Hsuan, Wang Lei, Gu Zheng-Cheng, Fiete Gregory A. (2013), Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined quantum Monte Carlo and Green's function study, in PHYSICAL REVIEW B, 87(12), 121113.
Tree tensor networks and entanglement spectra
Pižorn Iztok, Verstraete Frank, Konik Robert M. (2013), Tree tensor networks and entanglement spectra, in Physical Review B - Condensed Matter and Materials Physics, 88(19), 195102.
Density functional theory for atomic Fermi gases
Ma Ping Nang, Pilati Sebastiano, Troyer Matthias, Dai Xi (2012), Density functional theory for atomic Fermi gases, in NATURE PHYSICS, 8(8), 601-605.
Interaction-induced topological phase transition in the Bernevig-Hughes-Zhang model
Wang Lei, Dai Xi, Xie Xincheng (2012), Interaction-induced topological phase transition in the Bernevig-Hughes-Zhang model, in EPL, 98(5), 57001.
Interaction-induced topological phase transition in the Bernevig-Hughes-Zhang model
Wang Lei, Dai Xi, Xie X. C. (2012), Interaction-induced topological phase transition in the Bernevig-Hughes-Zhang model, in EPL, 98(5), 57001.
Pole expansion of self-energy and interaction effect for topological insulators
Wang L, Jiang H, Dai X, Xie XC (2012), Pole expansion of self-energy and interaction effect for topological insulators, in Physical Review B - Condensed Matter and Materials Physics, 85(23), 235135.
Pole expansion of self-energy and interaction effect for topological insulators
Wang Lei, Jiang Hua, Dai Xi, Xie Xincheng (2012), Pole expansion of self-energy and interaction effect for topological insulators, in Physical Review B - Condensed Matter and Materials Physics, 85(23), 235135.
Quantum magnetic properties of the SU(2N) Hubbard model in the square lattice: a quantum Monte Carlo study
Cai Zi, Hung Hsiang-Hsuan, Wang Lei, Wu Congjun (2012), Quantum magnetic properties of the SU(2N) Hubbard model in the square lattice: a quantum Monte Carlo study, in arXiv, 1207.6843.

Zusammenarbeit

Gruppe / Person Land
Formen der Zusammenarbeit
ETH Zürich Schweiz (Europa)
- Publikation
Chinese Academy of Sciences China (Asien)
- vertiefter/weiterführender Austausch von Ansätzen, Methoden oder Resultaten
- Publikation
- Austausch von Mitarbeitern
Profs. N. Prokof'ev andf B. Svistunov, UMass Amherst Vereinigte Staaten von Amerika (Nordamerika)
- vertiefter/weiterführender Austausch von Ansätzen, Methoden oder Resultaten
- Publikation

Wissenschaftliche Veranstaltungen

Aktiver Beitrag

Titel Art des Beitrags Titel des Artikels oder Beitrages Datum Ort Beteiligte Personen
CECAM Workshop on Computational Many-Body Physics in the Era of Artificial Gauge Fields Vortrag im Rahmen einer Tagung Simulation of Hubbard Models in the Era of Synthetic Gauge Field 08.04.2015 Munich, Deutschland Wang Lei;
INT Conference Vortrag im Rahmen einer Tagung Classical and quantum simulation of quantum systems 30.03.2015 Seattle, WA, Vereinigte Staaten von Amerika Troyer Matthias;
Frontiers in Quantum Simulation with Cold Atoms Poster Simulation of Hubbard Models in the Era of Synthetic Gauge Field 23.03.2015 Seattle, Vereinigte Staaten von Amerika Wang Lei;
Aspen Winter Conference Vortrag im Rahmen einer Tagung Adiabatic and non-adiabatic state preparation 22.03.2015 Aspen, CO, Vereinigte Staaten von Amerika Troyer Matthias;
APS March Meeting Vortrag im Rahmen einer Tagung Fidelity Susceptibility Made Simple 02.03.2015 San Antonio, TX, Vereinigte Staaten von Amerika Wang Lei;
Workshop on Quantum Simulations, Vortrag im Rahmen einer Tagung Surprises in simulation of quantum phase transitions 22.02.2015 Benasque, Spanien Wang Lei;
Seminar Einzelvortrag Simulation of fermionic quantum gases 22.10.2014 Toronto, Kanada Troyer Matthias;
Simons Foundation Meeting on the Many Electron Problem Vortrag im Rahmen einer Tagung Competing order in the 2D t-J model 04.09.2014 New York, Vereinigte Staaten von Amerika Troyer Matthias;
Numerical and analytical methods for strongly correlated systems Poster Renyi entanglement entropy of interacting fermions 24.08.2014 Benasque, Spanien Wang Lei;
Seminar Einzelvortrag Spinless fermions on a honeycomb lattice: from quantum criticality to topological superconductors 08.07.2014 Würzburg, Deutschland Wang Lei;
KITPC Program on Precision Many-body Physics of Strongly correlated Quantum Matter Vortrag im Rahmen einer Tagung Spinless fermions on a honeycomb lattice: from quantum criticality to topological superconductors 05.05.2014 Beijing, China Wang Lei;
DPG Frühjahrstagung Vortrag im Rahmen einer Tagung Quantum Computing and Strongly Correlated Materials 31.03.2014 Dresden, Deutschland Troyer Matthias;
Colloquium Einzelvortrag Validation of quantum devices 28.03.2014 Princeton University, Vereinigte Staaten von Amerika Troyer Matthias;
Seminar Einzelvortrag Validation of quantum devices 19.03.2014 RIKEN, Tokyo, Japan Troyer Matthias;
QIP Vortrag im Rahmen einer Tagung Classical simulations of complex quantum systems 07.02.2014 Barcelona, Spanien Troyer Matthias;
QSIT meeting Vortrag im Rahmen einer Tagung Quantum annealing and the D-Wave devices 06.02.2014 Arosa, Schweiz Troyer Matthias;
QSIT winter school Vortrag im Rahmen einer Tagung Numerical simulation of quantum many body systems 03.02.2014 Arosa, Schweiz Troyer Matthias;
Colloquium Einzelvortrag Validation of quantum devices 15.01.2014 University of Michiga, Ann Arbor, Vereinigte Staaten von Amerika Troyer Matthias;
Conference on quantum computing Vortrag im Rahmen einer Tagung Simulating classically-intractable quantum systems on (small) quantum computers 10.12.2013 IBM, Yorktown Heights, Vereinigte Staaten von Amerika Troyer Matthias;
Seminar Einzelvortrag Numerical simulations of bosons and fermions in 3D optical lattices 20.11.2013 Center for Theoretical Sciences, Taiwan Ma Ping Nang;
Seminar Einzelvortrag Numerical simulations of bosons and fermions in 3D optical lattices 01.11.2013 Center for Quantum Technologies, Singapur Ma Ping Nang;
Colloquium Einzelvortrag Validation of quantum devices 17.10.2013 MIT, Vereinigte Staaten von Amerika Troyer Matthias;
Swiss-Japanese meeting Vortrag im Rahmen einer Tagung Magnetism in ultracold atomic Fermi gases 04.10.2013 EPFL, Schweiz Troyer Matthias;
FOR1807 Fall school Vortrag im Rahmen einer Tagung Quantum Monte Carlo methods 30.09.2013 Würzburg, Deutschland Troyer Matthias;
FOR1807 Fall school Vortrag im Rahmen einer Tagung The ALPS project 30.09.2013 Würzburg, Deutschland Troyer Matthias;
Theoretical Physics Workshop and Summer School: Models of Modern Physics Vortrag im Rahmen einer Tagung Introduction to path integral Monte Carlo 08.09.2013 Svit, Slowakische Republik (Slowakei) Imriska Jakub;
BEC 2013 Poster Seeing Hofstadter’s Butterfly in the Atomic Fermi Gases 07.09.2013 San Feliu, Spanien Wang Lei;
BEC 2013 Vortrag im Rahmen einer Tagung Quantum annealing from superconducting devices to ultracold atoms 07.09.2013 San Feliu, Spanien Troyer Matthias;
ICQM Seminar Einzelvortrag Density functional theory for static and dynamic properties of cold atomic gases 08.08.2013 Beijing University, China Wang Lei;
Colloquium Einzelvortrag Validation of quantum devices 08.08.2013 Aspen Center for Physics, Vereinigte Staaten von Amerika Troyer Matthias;
The 7th national conference on cold atom physics and quantum information for young researchers Vortrag im Rahmen einer Tagung Topological charge pumping of cold atoms 27.07.2013 Anhui, China Wang Lei;
Aspen Summer Workshop Vortrag im Rahmen einer Tagung Validation of quantum devices 15.07.2013 Aspen, CO, USA, Vereinigte Staaten von Amerika Troyer Matthias;
Workshop on quantum Monte Carlo methods Vortrag im Rahmen einer Tagung Continuous time quantum Monte Carlo simulations 04.07.2013 Seattle, Vereinigte Staaten von Amerika Troyer Matthias;
Topological Phases in Condensed Matter and Cold Atom Systems: towards quantum computations Vortrag im Rahmen einer Tagung Topological charge pumping of cold atoms 24.06.2013 Cargese, Frankreich Wang Lei;
Workshop on Software Infrastructure for Reproducibility in Science Vortrag im Rahmen einer Tagung Reproducibility in quantum physics 30.05.2013 New York, Vereinigte Staaten von Amerika Troyer Matthias;
DARPA OLE Meeting Vortrag im Rahmen einer Tagung Topological charge pumping of cold atoms 29.05.2013 San Francisco, Vereinigte Staaten von Amerika Wang Lei;
Tensor network algorithms in computational physics and numerical analysis Vortrag im Rahmen einer Tagung Real Time Evolution at Finite Temperatures with Operator Space Matrix Product States 15.05.2013 ETH Zurich, Schweiz Pizorn Iztok;
Quantum optics group seminar Vortrag im Rahmen einer Tagung Topological charge pumping of cold atoms 23.04.2013 LMU, Deutschland Wang Lei;
QSIT lunch seminar Einzelvortrag Topological charge pumping of cold atoms 02.04.2013 ETH Zurich, Schweiz Wang Lei;
APS March Meeting Vortrag im Rahmen einer Tagung Topological charge pumping of cold atoms 18.03.2013 Baltimore, Vereinigte Staaten von Amerika Wang Lei;
Finite-temperature non-equilibrium superfluid systems Vortrag im Rahmen einer Tagung Simulating dynamics and topological phases of cold fermionic gases 16.02.2013 Queenstown, Neuseeland Wang Lei;
Aspen Winter Conference Vortrag im Rahmen einer Tagung Performance of a quantum annealer: experiments on D-Wave One (and Two) 13.01.2013 Aspen, CO, USA, Vereinigte Staaten von Amerika Troyer Matthias;
Seminar Einzelvortrag Ab-initio simulations of fermionic quantum gases 08.01.2013 PSI, Schweiz Troyer Matthias;
Workshop on orbital physics in cold atom systems Vortrag im Rahmen einer Tagung Topological charge pumping of cold atoms 05.01.2013 Beijing, China, China Wang Lei;
Colloquium Einzelvortrag Beyond classical computing: validating quantum devices 05.12.2012 Google, Venice Beach, CA, Vereinigte Staaten von Amerika Troyer Matthias;
DARPA OLE Review Meeting Vortrag im Rahmen einer Tagung Passing through Dirac points 26.11.2012 Miami, FL, USA, Vereinigte Staaten von Amerika Troyer Matthias;
Colloquium Einzelvortrag Excited and Mixed states with Tensor Networks 16.08.2012 Instituto de ciencias fisicas, UNAM Cuernavaca, Mexiko Pizorn Iztok;
The 6th Workshop of Cold Atom and Quantum Information for Young Scholars Vortrag im Rahmen einer Tagung Density functional theory for static and dynamic properties of cold atomic gases 14.08.2012 Jinhua, China, China Wang Lei;
Open many body systems, quantum computing and correlations, classical and quantum. Einzelvortrag Entanglement of quasiparticle excited states 08.08.2012 UNAM, Cuernavaca, Mexiko Pizorn Iztok;
Workshop on Quantum Simulations with Ultracold Atom Poster Density functional theory for static and dynamic properties of cold atomic gases 16.07.2012 Trieste, Italy, Italien Wang Lei;
PASC Junior Retreat Vortrag im Rahmen einer Tagung Poster 09.07.2012 Mannedorf, Schweiz Wang Lei;
QSIT Meeting Vortrag im Rahmen einer Tagung Density functional theory for static and dynamic properties of cold atomic gases 17.06.2012 Ascona, Switzerland, Schweiz Wang Lei;
DAMOP Meeting Vortrag im Rahmen einer Tagung Quantum Monte Carlo simulations and thermometry in ultracold quantum gases 04.06.2012 Anaheim, CA, USA, Vereinigte Staaten von Amerika Troyer Matthias;
Summer school Vortrag im Rahmen einer Tagung Quantum Monte Carlo methods 28.05.2012 Sherbrooke, QC, Canada, Kanada Troyer Matthias;
Seminar Einzelvortrag Ab-initio simulations of fermionic quantum gases 16.05.2012 Columbia University, Vereinigte Staaten von Amerika Troyer Matthias;
Seminar Einzelvortrag Ab-initio simulations of fermionic quantum gases 11.05.2012 Universität Frankfurt, Deutschland Troyer Matthias;


Kommunikation mit der Öffentlichkeit

Kommunikation Titel Medien Ort Jahr
Referate/Veranstaltungen/Ausstellungen Validation of quantum devices International 2014

Verbundene Projekte

Nummer Titel Start Förderungsinstrument
159411 Classical and Quantum Simulation of Quantum Many Body Systems 01.04.2015 Projektförderung (Abt. I-III)
124538 Simulation of Novel Phases in Correlated Quantum Systems 01.04.2009 Projektförderung (Abt. I-III)

Abstract

In this project we will continue simulations of novel phases and phase transitions in correlated quantum systems, focusing on correlated fermions in two and three dimensions. While the properties of weakly interacting materials are fairly well understood and can be simulated with high accuracy, the calculation of properties of correlated materials remains a big and important challenge. Strong quantum effects give rise to a plethora of fascinating phenomena and new methodological developments are needed for their understanding. Over the past years we have developed new algorithmic approaches, such as continuous time quantum Monte Carlo (QMC) methods for bosonic and fermionic quantum many body problems. These new methods provide performance improvements of many orders of magnitude compared to the previous state of the art methods. Combined with the power of new massively parallel supercomputers they will allow more accurate simulations of fermionic systems. We plan to address three problems. The first are simulations of lattice models such as the Hubbard model and its variants. These appear both as microscopic models for ultracold atomic gases in optical lattices and as effective models for strongly correlated materials. Specific simulations will include the equation of state of ultracold fermionic gases in optical lattices and the calculation of the phase diagram of extended Hubbard models. Combining bosonic and fermionic versions of the dynamical mean field theory we also plan to investigate Bose-Fermi mixtures. A second line of approach is the development of a Kohn-Sham density-functional theory (DFT) for ultracold atomic gases. DFT, based on density functional for the electron gas, is the main workhorse for materials simulation, but it is challenging to derive and test functionals for the strongly correlated regime. With a DFT method for atomic gases we will be able to both solve challenging problems in ultracold atomic gases, for the ground state as well as non-equilibrium dynamics. Potentially more importantly, we will be able to test and improve various approaches for hybrid functionals for the strongly correlated regime much better than in condensed matter materials.As a third line of research, we will perform ab-initio simulations of semiconductor heterostructures to derive realistic device-dependent effective Hamiltonians for the fractional quantum Hall effect, and then solve those models by large-scale exact diagonalization to investigate the potential for exotic non-Abelian quantum Hall states, and the dependence of the occurrence of such states on device parameters.
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