Browsing by Author "Troyer, M."
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- The ALPS project release 2.0: open source software for strongly correlated systemsBauer, B.; Carr, L. D.; Evertz, H. G.; Feiguin, A.; Freire, J.; Fuchs, S.; Gamper, L.; Gukelberger, J.; Gull, E.; Guertler, S.; Hehn, A.; Igarashi, R.; Isakov, S. V.; Koop, D.; Ma, P. N.; Mates, P.; Matsuo, H.; Parcollet, O.; Pawlowski, G.; Picon, J. D.; Pollet, L.; Santos, Eunice E.; Scarola, Vito W.; Schollwoeck, U.; Silva, C.; Surer, B.; Todo, S.; Trebst, S.; Troyer, M.; Wall, M. L.; Werner, P.; Wessel, S. (IOP, 2011-05-01)We present release 2.0 of the ALPS (Algorithms and Libraries for Physics Simulations) project, an open source software project to develop libraries and application programs for the simulation of strongly correlated quantum lattice models such as quantum magnets, lattice bosons, and strongly correlated fermion systems. The code development is centered on common XML and HDF5 data formats, libraries to simplify and speed up code development, common evaluation and plotting tools, and simulation programs. The programs enable non-experts to start carrying out serial or parallel numerical simulations by providing basic implementations of the important algorithms for quantum lattice models: classical and quantum Monte Carlo (QMC) using non-local updates, extended ensemble simulations, exact and full diagonalization (ED), the density matrix renormalization group (DMRG) both in a static version and a dynamic time-evolving block decimation (TEBD) code, and quantum Monte Carlo solvers for dynamical mean field theory (DMFT). The ALPS libraries provide a powerful framework for programers to develop their own applications, which, for instance, greatly simplify the steps of porting a serial code onto a parallel, distributed memory machine. Major changes in release 2.0 include the use of HDF5 for binary data, evaluation tools in Python, support for the Windows operating system, the use of CMake as build system and binary installation packages for Mac OS X and Windows, and integration with the VisTrails work ow provenance tool. The software is available from our web server at http://alps.comp-phys.org/.
- Discerning Incompressible and Compressible Phases of Cold Atoms in Optical LatticesScarola, Vito W.; Pollet, L.; Oitmaa, J.; Troyer, M. (2009-04-03)
- Distinguishing phases with ansatz wave functionsBauer, B.; Troyer, M.; Scarola, Vito W.; Whaley, K. B. (2010-02)
- Identifying quantum topological phases through statistical correlationWang, H.; Bauer, B.; Troyer, M.; Scarola, Vito W. (American Physical Society, 2011-03-14)We theoretically examine the use of a statistical distance measure, the indistinguishability, as a generic tool for the identification of topological order. We apply this measure to the toric code and two fractional quantum Hall models. We find that topologically ordered states can be identified with the indistinguishability for both models. Calculations with the indistinguishability also underscore a key distinction between symmetries that underlie topological order in the toric code and quantum Hall models.
- Identifying quantum topological phases through statistical correlationWang, H.; Bauer, B.; Troyer, M.; Scarola, Vito W. (American Physical Society, 2011-03-14)
- Neel temperature and thermodynamics of the half-filled three-dimensional Hubbard model by diagrammatic determinant Monte CarloKozik, E.; Burovski, E.; Scarola, Vito W.; Troyer, M. (American Physical Society, 2013-05-03)We study the thermodynamics of the three-dimensional Hubbard model at half filling on approach to the Neel transition by means of large-scale unbiased diagrammatic determinant Monte Carlo simulations. We obtain the transition temperature in the strongly correlated regime, as well as the temperature dependence of the energy, entropy, double occupancy, and nearest-neighbor spin correlation function. Our results improve the accuracy of previous unbiased studies and present accurate benchmarks in the ongoing effort to realize the antiferromagnetic state of matter with ultracold atoms in optical lattices.
- Neel temperature and thermodynamics of the half-filled three-dimensional Hubbard model by diagrammatic determinant Monte CarloKozik, E.; Burovski, E.; Scarola, Vito W.; Troyer, M. (American Physical Society, 2013-05-03)
- Phase Diagram of the nu=5/2 Fractional Quantum Hall Effect: Effects of Landau-Level Mixing and Nonzero WidthPakrouski, K.; Peterson, M. R.; Jolicoeur, T.; Scarola, Vito W.; Nayak, C.; Troyer, M. (American Physical Society, 2015-04-02)
- Quantitative Determination of Temperature in the Approach to Magnetic Order of Ultracold Fermions in an Optical LatticeJordens, R.; Tarruell, L.; Greif, D.; Uehlinger, T.; Strohmaier, N.; Moritz, H.; Esslinger, T.; De Leo, L.; Kollath, C.; Georges, A.; Scarola, Vito W.; Pollet, L.; Burovski, E.; Kozik, E.; Troyer, M. (American Physical Society, 2010-05-07)We perform a quantitative simulation of the repulsive Fermi-Hubbard model using an ultracold gas trapped in an optical lattice. The entropy of the system is determined by comparing accurate measurements of the equilibrium double occupancy with theoretical calculations over a wide range of parameters. We demonstrate the applicability of both high-temperature series and dynamical mean-field theory to obtain quantitative agreement with the experimental data. The reliability of the entropy determination is confirmed by a comprehensive analysis of all systematic errors. In the center of the Mott insulating cloud we obtain an entropy per atom as low as 0.77k(B) which is about twice as large as the entropy at the Neel transition. The corresponding temperature depends on the atom number and for small fillings reaches values on the order of the tunneling energy.
- Subband engineering even-denominator quantum Hall statesScarola, Vito W.; May, C.; Peterson, M. R.; Troyer, M. (American Physical Society, 2010-09-09)Proposed even-denominator fractional quantum Hall effect (FQHE) states suggest the possibility of excitations with non-Abelian braid statistics. Recent experiments on wide square quantum wells observe even-denominator FQHE even under electrostatic tilt. We theoretically analyze these structures and develop a procedure to accurately test proposed quantum Hall wavefunctions. We find that tilted wells favor partial subband polarization to yield Abelian even-denominator states. Our results show that tilting quantum wells effectively engineers different interaction potentials allowing exploration of a wide variety of even-denominator states.
- Subband engineering even-denominator quantum Hall statesScarola, Vito W.; May, C.; Peterson, M. R.; Troyer, M. (American Physical Society, 2010-09-09)Proposed even-denominator fractional quantum Hall effect (FQHE) states suggest the possibility of excitations with non-Abelian braid statistics. Recent experiments on wide square quantum wells indicate even-denominator FQHE even under electrostatic tilt. We theoretically analyze these structures and develop a procedure to accurately test proposed quantum Hall wave functions. We find that tilted wells favor partial subband polarization to yield Abelian even-denominator states. Our results show that tilting quantum wells effectively engineers different interaction potentials allowing exploration of a wide variety of even-denominator states.
- Thermal canting of spin-bond orderScarola, Vito W.; Whaley, K. B.; Troyer, M. (2009-02)