## Contact

Swiss National Science Foundation (SNSF)

Wildhainweg 3P.O. Box

CH-3001 Bern

Phone +41 31 308 22 22

English title | The Physics of Complex Systems: From Glasses to Quantum Computing |
---|---|

Applicant | Katzgraber Helmut Gottfried |

Number | 114713 |

Funding scheme | SNSF Professorships |

Research institution | Institut für Theoretische Physik ETH Zürich |

Institution of higher education | ETH Zurich - ETHZ |

Main discipline | Theoretical Physics |

Start/End | 01.03.2007 - 28.02.2013 |

Approved amount | 1'391'071.00 |

Discipline |
---|

Theoretical Physics |

Condensed Matter Physics |

computational physics; theoreticla condensed matter physics; statistical mechanics; disordered systems; complex systems; spin and structural glasses; cold atomic gases; topologically-protected quantum computing

Lead |
---|

Lay summary |

The program aims to provide a deeperunderstanding of complex systems such as spin, electron, and structural glasses, as well as cold atomic gases and topologically-protected quantum computing by studying realistic model systems using computational physics methods. In addition, a key component is the development of algorithms to simulate these systems efficiently.Glasses: Glassy systems are characterized by disorder and frustration. The most prominent representatives are spin glasses which exhibit high magnetic frustration, as well as structural glasses which are characterized by geometric frustration. Although spin glasses find few direct applications in experimental systems, they are paradigmatic models that deliver concepts relevant for a variety of systems such as optimization problems, disordered magnets and economics applications. However, despite ongoing research spanning several decades in the area of glassy systems, there remain many fundamental open questions which we attempt to answer in this proposal.Cold atomic gases: Superimposing optical lattices to Bose-Einstein condensates has enabled the realization of complex quantum phases. Whereas theoretically and numerically exotic quantum phases are being predicted, experimentally they are far from being observed due to the complexity of the experimental setups. In particular, experiments require optical traps that can drastically change the critical behavior of the cold gas being studied. We study numerically the properties of the phases of these systems in optical traps. Furthermore, we use the cold atomic toolbox to emulate new states of matter.Topologically-protected quantum computing:Besides classical symmetry breaking, quantum systems exhibit topological order which can be used to implement robust quantum bits that show good prospects for large decoherence times and scalability; the latter being a problem in common qubit implementations. The main microscopic Hamiltonian with a fractionalized quantum phase needed to implement topologically-protected quantum bits is the Rokhsar-Kivelson quantum dimer model on the triangular lattice. Our research focuses on the feasibility of the implementation of a topologically-protected qubit as well as the general study of exotic phases.Algorithms: Even with ever-increasing computer power, the study of complex systems, such as glasses in particular, requires efficient algorithms. Thus the development of new algorithms to tackle complex numerical problems is of paramount importance not only in computational physics, but also in other related fields where the algorithms could be applied. |

Direct link to Lay Summary | Last update: 21.02.2013 |

Name | Institute |
---|

Publication |
---|

Genetic Braid Optimization: A heuristic approach to compute quasiparticle braids |

Correlations between the dynamics of parallel tempering and the free-energy landscape in spin glasses |

Three and four dimensions as seen from one space dimension |

Ultrametric probe of the spin-glass state in a field |

Evidence of Non-Mean-Field-Like Low-Temperature Behavior in the Edwards-Anderson Spin-Glass Model |

Bond Disorder Induced Criticality of the Three-Color Ashkin-Teller Model |

Boolean decision problems with competing interactions on scale-free networks: Critical thermodynamics |

Optimal error correction in topological subsystem codes |

Strong Resilience of Topological Codes to Depolarization |

Sampling the ground-state magnetization of d-dimensional p-body Ising models |

Simplest model to study reentrance in physical systems |

Introduction to Monte Carlo Methods |

Random Numbers in Scientific Computing: An Introduction |

Scientific Software Engineering in a Nutshell |

Tricolored lattice gauge theory with randomness: fault tolerance in topological color codes |

Critical behavior and universality in Levy spin glasses |

Optimizing glassy p-spin models |

Evidence of a glass transition in a ten-state non-mean-field Potts glass |

Universality in phase boundary slopes for spin glasses on self-dual lattices |

New Insights from One-Dimensional Spin Glasses |

Comment on "Density of States and Critical Behavior of the Coulomb Glass'' Reply |

Numerical studies of a one-dimensional three-spin spin-glass model with long-range interactions |

Topological color codes on Union Jack lattices: a stable implementation of the whole Clifford group |

Ensemble Optimization Techniques for the Simulation of Slowly Equilibrating Systems |

Quantum annealing for problems with ground-state degeneracy |

Determination of thermal radiative properties of packed-bed media containing a mixture of polydispersed particles |

Error Threshold for Color Codes and Random Three-Body Ising Models |

Analysis of evolutionary algorithms on the one-dimensional spin glass with power-law interactions |

Ground-state statistics from annealing algorithms: quantum versus classical approaches |

Study of the de Almeida-Thouless Line Using Power-Law Diluted One-Dimensional Ising Spin Glasses |

ENCORE: An extended contractor renormalization algorithm |

Density of States and Critical Behavior of the Coulomb Glass |

Ultrametricity and Clustering of States in Spin Glasses: A One-Dimensional View |

Spin glasses and algorithm benchmarks: A one-dimensional view |

Extended scaling for ferromagnetic Ising models with zero-temperature transitions |

Evidence for Universal Scaling in the Spin-Glass Phase |

Local field distributions in spin glasses |

Engineering exotic phases for topologically protected quantum computation by emulating quantum dimer models |

Physical replicas and the Bose glass in cold atomic gases |

Finding ground states of Sherrington-Kirkpatrick spin glasses with hierarchical boa and genetic algorithms |

Universality and universal finite-size scaling functions in four-dimensional Ising spin glasses |

Behavior of ising spin glasses in a magnetic field |

Absence of a structural glass phase in a monatomic model liquid predicted to undergo an ideal glass transition |

Finite versus zero-temperature hysteretic behavior of spin glasses: Experiment and theory |

Typical versus average helicity modulus in the three-dimensional gauge glass: Understanding the vortex glass phase |

Disorder-induced magnetic memory: Experiments and theories |

Communication | Title | Media | Place | Year |
---|

Media relations: print media, online media | 11 A&M profs awarded National Science Foundation grant | The Eagle Newspaper | International | 01.05.2012 |

Media relations: print media, online media | National Awards Highlight Cutting-Edge Research From Texas A&M Junior Faculty | TAMU Times | International | 01.05.2012 |

New media (web, blogs, podcasts, news feeds etc.) | Overcoming Quantum Error | Texas Advanced Computing Center Feature Story | International | 27.05.2011 |

Title | Year |
---|

National Science Foundation CAREER Award | 2011 |

Swiss National Science Foundation (SNSF)

Wildhainweg 3P.O. Box

CH-3001 Bern

Phone +41 31 308 22 22

Enter and manage your applications

Enter your e-mail address to receive the SNSF Newsletter regularly

© SNSF 2018