QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems. Part II: bosons, fermions and higher spins
Abstract
We present a major update to QuSpin, SciPostPhys.2.1.003 – an open-source Python package for exact diagonalization and quantum dynamics of arbitrary boson, fermion and spin many-body systems, supporting the use of various (user-defined) symmetries in one and higher dimension and (imaginary) time evolution following a user-specified driving protocol. We explain how to use the new features of QuSpin using seven detailed examples of various complexity: (i) the transverse-field Ising chain and the Jordan-Wigner transformation, (ii) free particle systems: the Su-Schrieffer-Heeger (SSH) model, (iii) the many-body localized 1D Fermi-Hubbard model, (iv) the Bose-Hubbard model in a ladder geometry, (v) nonlinear (imaginary) time evolution and the Gross-Pitaevskii equation on a 1D lattice, (vi) integrability breaking and thermalizing dynamics in the translationally-invariant 2D transverse-field Ising model, and (vii) out-of-equilibrium Bose-Fermi mixtures. This easily accessible and user-friendly package can serve various purposes, including educational and cutting-edge experimental and theoretical research. The complete package documentation is available under http://weinbe58.github.io/QuSpin/index.html.
- Authors:
-
- Boston University
- University of California, Berkeley
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1564395
- Resource Type:
- Published Article
- Journal Name:
- SciPost Physics Proceedings
- Additional Journal Information:
- Journal Name: SciPost Physics Proceedings Journal Volume: 7 Journal Issue: 2; Journal ID: ISSN 2542-4653
- Publisher:
- Stichting SciPost
- Country of Publication:
- Netherlands
- Language:
- English
Citation Formats
Weinberg, Phillip, and Bukov, Marin. QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems. Part II: bosons, fermions and higher spins. Netherlands: N. p., 2019.
Web. doi:10.21468/SciPostPhys.7.2.020.
Weinberg, Phillip, & Bukov, Marin. QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems. Part II: bosons, fermions and higher spins. Netherlands. doi:10.21468/SciPostPhys.7.2.020.
Weinberg, Phillip, and Bukov, Marin. Fri .
"QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems. Part II: bosons, fermions and higher spins". Netherlands. doi:10.21468/SciPostPhys.7.2.020.
@article{osti_1564395,
title = {QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems. Part II: bosons, fermions and higher spins},
author = {Weinberg, Phillip and Bukov, Marin},
abstractNote = {We present a major update to QuSpin, SciPostPhys.2.1.003 – an open-source Python package for exact diagonalization and quantum dynamics of arbitrary boson, fermion and spin many-body systems, supporting the use of various (user-defined) symmetries in one and higher dimension and (imaginary) time evolution following a user-specified driving protocol. We explain how to use the new features of QuSpin using seven detailed examples of various complexity: (i) the transverse-field Ising chain and the Jordan-Wigner transformation, (ii) free particle systems: the Su-Schrieffer-Heeger (SSH) model, (iii) the many-body localized 1D Fermi-Hubbard model, (iv) the Bose-Hubbard model in a ladder geometry, (v) nonlinear (imaginary) time evolution and the Gross-Pitaevskii equation on a 1D lattice, (vi) integrability breaking and thermalizing dynamics in the translationally-invariant 2D transverse-field Ising model, and (vii) out-of-equilibrium Bose-Fermi mixtures. This easily accessible and user-friendly package can serve various purposes, including educational and cutting-edge experimental and theoretical research. The complete package documentation is available under http://weinbe58.github.io/QuSpin/index.html.},
doi = {10.21468/SciPostPhys.7.2.020},
journal = {SciPost Physics Proceedings},
number = 2,
volume = 7,
place = {Netherlands},
year = {2019},
month = {8}
}
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.21468/SciPostPhys.7.2.020
DOI: 10.21468/SciPostPhys.7.2.020
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 9 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields
journal, August 2014
- Goldman, N.; Dalibard, J.
- Physical Review X, Vol. 4, Issue 3
Phase transitions in Bose-Fermi-Hubbard model in the heavy fermion limit: Hard-core boson approach
journal, December 2015
- Stasyuk,
- Condensed Matter Physics, Vol. 18, Issue 4
Time evolution of many-body localized systems with the flow equation approach
journal, February 2018
- Thomson, S. J.; Schiró, M.
- Physical Review B, Vol. 97, Issue 6
Colloquium: Atomic quantum gases in periodically driven optical lattices
journal, March 2017
- Eckardt, André
- Reviews of Modern Physics, Vol. 89, Issue 1
Phase space representation of quantum dynamics
journal, August 2010
- Polkovnikov, Anatoli
- Annals of Physics, Vol. 325, Issue 8
Soliton excitations in polyacetylene
journal, August 1980
- Su, W. P.; Schrieffer, J. R.; Heeger, A. J.
- Physical Review B, Vol. 22, Issue 4
Many-body physics with ultracold gases
journal, July 2008
- Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm
- Reviews of Modern Physics, Vol. 80, Issue 3
Geometry and non-adiabatic response in quantum and classical systems
journal, June 2017
- Kolodrubetz, Michael; Sels, Dries; Mehta, Pankaj
- Physics Reports, Vol. 697
Recent progress in many-body localization: Recent progress in many-body localization
journal, July 2017
- Abanin, Dmitry A.; Papić, Zlatko
- Annalen der Physik, Vol. 529, Issue 7
OpenMP GNU and Intel Fortran programs for solving the time-dependent Gross–Pitaevskii equation
journal, November 2017
- Young-S., Luis E.; Muruganandam, Paulsamy; Adhikari, Sadhan K.
- Computer Physics Communications, Vol. 220
Solitons in Polyacetylene
journal, June 1979
- Su, W. P.; Schrieffer, J. R.; Heeger, A. J.
- Physical Review Letters, Vol. 42, Issue 25
Quantum Monte Carlo simulations of solids
journal, January 2001
- Foulkes, W. M. C.; Mitas, L.; Needs, R. J.
- Reviews of Modern Physics, Vol. 73, Issue 1
Colloquium : Nonequilibrium dynamics of closed interacting quantum systems
journal, August 2011
- Polkovnikov, Anatoli; Sengupta, Krishnendu; Silva, Alessandro
- Reviews of Modern Physics, Vol. 83, Issue 3
Universal Dynamics and Renormalization in Many-Body-Localized Systems
journal, March 2015
- Altman, Ehud; Vosk, Ronen
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering
journal, March 2015
- Bukov, Marin; D'Alessio, Luca; Polkovnikov, Anatoli
- Advances in Physics, Vol. 64, Issue 2
Average entropy of a subsystem
journal, August 1993
- Page, Don N.
- Physical Review Letters, Vol. 71, Issue 9
Competing orders in a dipolar Bose-Fermi mixture on a square optical lattice: mean-field perspective
journal, July 2016
- Scaramazza, Jasen A.; Kain, Ben; Ling, Hong Y.
- The European Physical Journal D, Vol. 70, Issue 7
Dynamical Topological Transitions in the Massive Schwinger Model with a Term
journal, February 2019
- Zache, T. V.; Mueller, N.; Schneider, J. T.
- Physical Review Letters, Vol. 122, Issue 5
Dynamical quantum phase transitions: a review
journal, April 2018
- Heyl, Markus
- Reports on Progress in Physics, Vol. 81, Issue 5
Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator
journal, November 2017
- Zhang, J.; Pagano, G.; Hess, P. W.
- Nature, Vol. 551, Issue 7682
Review of quantum Monte Carlo methods and their applications
journal, May 1997
- Acioli, Paulo H.
- Journal of Molecular Structure: THEOCHEM, Vol. 394, Issue 2-3
Critical Properties of the Many-Body Localization Transition
journal, April 2017
- Khemani, Vedika; Lim, S. P.; Sheng, D. N.
- Physical Review X, Vol. 7, Issue 2
Critical Thermalization of a Disordered Dipolar Spin System in Diamond
journal, July 2018
- Kucsko, G.; Choi, S.; Choi, J.
- Physical Review Letters, Vol. 121, Issue 2
Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasiperiodic Systems
journal, November 2017
- Bordia, Pranjal; Lüschen, Henrik; Scherg, Sebastian
- Physical Review X, Vol. 7, Issue 4
Electronic structure calculations with dynamical mean-field theory
journal, August 2006
- Kotliar, G.; Savrasov, S. Y.; Haule, K.
- Reviews of Modern Physics, Vol. 78, Issue 3
Parametric Instability Rates in Periodically Driven Band Systems
journal, May 2017
- Lellouch, S.; Bukov, M.; Demler, E.
- Physical Review X, Vol. 7, Issue 2
PsiQuaSP–A library for efficient computation of symmetric open quantum systems
journal, November 2017
- Gegg, Michael; Richter, Marten
- Scientific Reports, Vol. 7, Issue 1
Exotic superconductivity through bosons in a dynamical cluster approximation
journal, November 2015
- Bilitewski, Thomas; Pollet, Lode
- Physical Review B, Vol. 92, Issue 18
QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems part I: spin chains
journal, January 2017
- Weinberg, Phillip; Bukov, Marin
- SciPost Physics, Vol. 2, Issue 1
Broken symmetry in a two-qubit quantum control landscape
journal, May 2018
- Bukov, Marin; Day, Alexandre G. R.; Weinberg, Phillip
- Physical Review A, Vol. 97, Issue 5
Thermal inclusions: how one spin can destroy a many-body localized phase
journal, October 2017
- Ponte, Pedro; Laumann, C. R.; Huse, David A.
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 375, Issue 2108
Stochastic approach to non-equilibrium quantum spin systems
journal, January 2019
- De Nicola, S.; Doyon, B.; Bhaseen, M. J.
- Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 5
Adiabatic perturbation theory and geometry of periodically-driven systems
journal, May 2017
- Weinberg, Phillip; Bukov, Marin; D’Alessio, Luca
- Physics Reports, Vol. 688
Machine learning & artificial intelligence in the quantum domain: a review of recent progress
journal, June 2018
- Dunjko, Vedran; Briegel, Hans J.
- Reports on Progress in Physics, Vol. 81, Issue 7
Recent developments in quantum Monte Carlo simulations with applications for cold gases
journal, August 2012
- Pollet, Lode
- Reports on Progress in Physics, Vol. 75, Issue 9
Minimizing irreversible losses in quantum systems by local counterdiabatic driving
journal, May 2017
- Sels, Dries; Polkovnikov, Anatoli
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 20
Computational Studies of Quantum Spin Systems
conference, January 2010
- Sandvik, Anders W.; Avella, Adolfo; Mancini, Ferdinando
- LECTURES ON THE PHYSICS OF STRONGLY CORRELATED SYSTEMS XIV: Fourteenth Training Course in the Physics of Strongly Correlated Systems, AIP Conference Proceedings
Many-body localization in a quantum simulator with programmable random disorder
journal, June 2016
- Smith, J.; Lee, A.; Richerme, P.
- Nature Physics, Vol. 12, Issue 10
QuTiP: An open-source Python framework for the dynamics of open quantum systems
journal, August 2012
- Johansson, J. R.; Nation, P. D.; Nori, Franco
- Computer Physics Communications, Vol. 183, Issue 8
The density-matrix renormalization group in the age of matrix product states
journal, January 2011
- Schollwöck, Ulrich
- Annals of Physics, Vol. 326, Issue 1
Reinforcement learning for autonomous preparation of Floquet-engineered states: Inverting the quantum Kapitza oscillator
journal, December 2018
- Bukov, Marin
- Physical Review B, Vol. 98, Issue 22
Theory of Bose-Einstein condensation in trapped gases
journal, April 1999
- Dalfovo, Franco; Giorgini, Stefano; Pitaevskii, Lev P.
- Reviews of Modern Physics, Vol. 71, Issue 3
Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
journal, April 2004
- Daley, A. J.; Kollath, C.; Schollwöck, U.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2004, Issue 04
Glassy Phase of Optimal Quantum Control
journal, January 2019
- Day, Alexandre G. R.; Bukov, Marin; Weinberg, Phillip
- Physical Review Letters, Vol. 122, Issue 2
Training Schrödinger’s cat: quantum optimal control: Strategic report on current status, visions and goals for research in Europe
journal, December 2015
- Glaser, Steffen J.; Boscain, Ugo; Calarco, Tommaso
- The European Physical Journal D, Vol. 69, Issue 12
Obtaining Highly Excited Eigenstates of Many-Body Localized Hamiltonians by the Density Matrix Renormalization Group Approach
journal, June 2016
- Khemani, Vedika; Pollmann, Frank; Sondhi, S. L.
- Physical Review Letters, Vol. 116, Issue 24
QuTiP 2: A Python framework for the dynamics of open quantum systems
journal, April 2013
- Johansson, J. R.; Nation, P. D.; Nori, Franco
- Computer Physics Communications, Vol. 184, Issue 4
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
journal, May 2016
- D'Alessio, Luca; Kafri, Yariv; Polkovnikov, Anatoli
- Advances in Physics, Vol. 65, Issue 3
Observation of many-body localization of interacting fermions in a quasirandom optical lattice
journal, July 2015
- Schreiber, M.; Hodgman, S. S.; Bordia, P.
- Science, Vol. 349, Issue 6250
Dynamics of a quantum phase transition and relaxation to a steady state
journal, September 2010
- Dziarmaga, Jacek
- Advances in Physics, Vol. 59, Issue 6
Long range quantum coherence, quantum & classical correlations in Heisenberg XX chain
journal, March 2019
- Mzaouali, Zakaria; El Baz, Morad
- Physica A: Statistical Mechanics and its Applications, Vol. 518
The density-matrix renormalization group
journal, April 2005
- Schollwöck, U.
- Reviews of Modern Physics, Vol. 77, Issue 1
Nonequilibrium dynamical mean-field theory and its applications
journal, June 2014
- Aoki, Hideo; Tsuji, Naoto; Eckstein, Martin
- Reviews of Modern Physics, Vol. 86, Issue 2
The ALPS project release 1.3: Open-source software for strongly correlated systems
journal, March 2007
- Albuquerque, A. F.; Alet, F.; Corboz, P.
- Journal of Magnetism and Magnetic Materials, Vol. 310, Issue 2
Asymptotic Prethermalization in Periodically Driven Classical Spin Chains
journal, January 2019
- Howell, Owen; Weinberg, Phillip; Sels, Dries
- Physical Review Letters, Vol. 122, Issue 1
Exploring the many-body localization transition in two dimensions
journal, June 2016
- Choi, J. -y.; Hild, S.; Zeiher, J.
- Science, Vol. 352, Issue 6293
Erratum: Soliton excitations in polyacetylene
journal, July 1983
- Su, W. P.; Schrieffer, J. R.; Heeger, A. J.
- Physical Review B, Vol. 28, Issue 2
Evidence for a Finite-Temperature Insulator
journal, August 2015
- Ovadia, M.; Kalok, D.; Tamir, I.
- Scientific Reports, Vol. 5, Issue 1
Shortcuts to Adiabaticity by Counterdiabatic Driving
journal, September 2013
- del Campo, Adolfo
- Physical Review Letters, Vol. 111, Issue 10
Coupling Identical one-dimensional Many-Body Localized Systems
journal, April 2016
- Bordia, Pranjal; Lüschen, Henrik P.; Hodgman, Sean S.
- Physical Review Letters, Vol. 116, Issue 14
Disorder-Induced Localization in a Strongly Correlated Atomic Hubbard Gas
journal, February 2015
- Kondov, S. S.; McGehee, W. R.; Xu, W.
- Physical Review Letters, Vol. 114, Issue 8
Parametric Heating in a 2D Periodically Driven Bosonic System: Beyond the Weakly Interacting Regime
journal, March 2019
- Boulier, T.; Maslek, J.; Bukov, M.
- Physical Review X, Vol. 9, Issue 1
Flow Equation Approach to Periodically Driven Quantum Systems
journal, May 2019
- Vogl, Michael; Laurell, Pontus; Barr, Aaron D.
- Physical Review X, Vol. 9, Issue 2
The ALPS Project: Open Source Software for Strongly Correlated Systems
journal, January 2005
- Alet, F.; Dayal, P.; Grzesik, A.
- Journal of the Physical Society of Japan, Vol. 74, Issue Suppl
An exact result for the 1D random Ising model in a transverse field
journal, July 1979
- Pfeuty, P.
- Physics Letters A, Vol. 72, Issue 3
The tensor network theory library
journal, September 2017
- Al-Assam, S.; Clark, S. R.; Jaksch, D.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2017, Issue 9
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
journal, January 1996
- Georges, Antoine; Kotliar, Gabriel; Krauth, Werner
- Reviews of Modern Physics, Vol. 68, Issue 1
Landau and dynamical instabilities of the superflow of Bose-Einstein condensates in optical lattices
journal, November 2001
- Wu, Biao; Niu, Qian
- Physical Review A, Vol. 64, Issue 6
Dynamical stability of a many-body Kapitza pendulum
journal, September 2015
- Citro, Roberta; Dalla Torre, Emanuele G.; D’Alessio, Luca
- Annals of Physics, Vol. 360
A high-bias, low-variance introduction to Machine Learning for physicists
journal, May 2019
- Mehta, Pankaj; Bukov, Marin; Wang, Ching-Hao
- Physics Reports, Vol. 810
Instability and control of a periodically driven Bose-Einstein condensate
journal, June 2009
- Creffield, C. E.
- Physical Review A, Vol. 79, Issue 6
The ALPS project release 2.0: open source software for strongly correlated systems
journal, May 2011
- Bauer, B.; Carr, L. D.; Evertz, H. G.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2011, Issue 05
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
journal, March 2015
- Nandkishore, Rahul; Huse, David A.
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Zur Theorie der Metalle: I. Eigenwerte und Eigenfunktionen der linearen Atomkette
journal, March 1931
- Bethe, H.
- Zeitschrift f�r Physik, Vol. 71, Issue 3-4
Spin Polarization through Floquet Resonances in a Driven Central Spin Model
journal, August 2018
- Claeys, Pieter W.; De Baerdemacker, Stijn; Araby, Omar El
- Physical Review Letters, Vol. 121, Issue 8
Parametric instability in periodically driven Luttinger liquids
journal, August 2012
- Bukov, M.; Heyl, M.
- Physical Review B, Vol. 86, Issue 5
Reinforcement Learning in Different Phases of Quantum Control
journal, September 2018
- Bukov, Marin; Day, Alexandre G. R.; Sels, Dries
- Physical Review X, Vol. 8, Issue 3
Signatures of Many-Body Localization in a Controlled Open Quantum System
journal, March 2017
- Lüschen, Henrik P.; Bordia, Pranjal; Hodgman, Sean S.
- Physical Review X, Vol. 7, Issue 1
Cython: The Best of Both Worlds
journal, March 2011
- Behnel, Stefan; Bradshaw, Robert; Citro, Craig
- Computing in Science & Engineering, Vol. 13, Issue 2
Matrix product state applications for the ALPS project
journal, December 2014
- Dolfi, Michele; Bauer, Bela; Keller, Sebastian
- Computer Physics Communications, Vol. 185, Issue 12
Python for Scientific Computing
journal, January 2007
- Oliphant, Travis E.
- Computing in Science & Engineering, Vol. 9, Issue 3
QuantumOptics.jl: A Julia framework for simulating open quantum systems
journal, June 2018
- Krämer, Sebastian; Plankensteiner, David; Ostermann, Laurin
- Computer Physics Communications, Vol. 227
The NumPy Array: A Structure for Efficient Numerical Computation
journal, March 2011
- van der Walt, Stéfan; Colbert, S. Chris; Varoquaux, Gaël
- Computing in Science & Engineering, Vol. 13, Issue 2
Investigating ultrafast quantum magnetism with machine learning
journal, January 2019
- Fabiani, Giammarco; Mentink, Johan
- SciPost Physics, Vol. 7, Issue 1
Replica Resummation of the Baker-Campbell-Hausdorff Series
journal, May 2018
- Vajna, Szabolcs; Klobas, Katja; Prosen, Tomaž
- Physical Review Letters, Vol. 120, Issue 20
Python for Scientists and Engineers
journal, March 2011
- Millman, K. Jarrod; Aivazis, Michael
- Computing in Science & Engineering, Vol. 13, Issue 2
Geometric Speed Limit of Accessible Many-Body State Preparation
journal, February 2019
- Bukov, Marin; Sels, Dries; Polkovnikov, Anatoli
- Physical Review X, Vol. 9, Issue 1
Mean-field phase diagram of the Bose-Fermi Hubbard model
journal, March 2014
- Bukov, Marin; Pollet, Lode
- Physical Review B, Vol. 89, Issue 9