scholarly journals Real time evolution in quantum many-body systems with unitary perturbation theory

2008 ◽  
Vol 78 (9) ◽  
Author(s):  
A. Hackl ◽  
S. Kehrein
Keyword(s):  
Perturbation Theory ◽  
Real Time ◽  
Time Evolution ◽  
Many Body ◽  
Many Body Systems

scholarly journals Using Matrix-Product States for Open Quantum Many-Body Systems: Efficient Algorithms for Markovian and Non-Markovian Time-Evolution

Entropy ◽  
2020 ◽  
Vol 22 (9) ◽  
pp. 984
Author(s):  
Regina Finsterhölzl ◽  
Manuel Katzer ◽  
Andreas Knorr ◽  
Alexander Carmele
Keyword(s):  
Time Evolution ◽  
Nearest Neighbor ◽  
Matrix Product ◽  
Body System ◽  
Many Body ◽  
Initial State ◽  
Matrix Product States ◽  
Open Quantum ◽  
Many Body Systems ◽  
The Many

This paper presents an efficient algorithm for the time evolution of open quantum many-body systems using matrix-product states (MPS) proposing a convenient structure of the MPS-architecture, which exploits the initial state of system and reservoir. By doing so, numerically expensive re-ordering protocols are circumvented. It is applicable to systems with a Markovian type of interaction, where only the present state of the reservoir needs to be taken into account. Its adaption to a non-Markovian type of interaction between the many-body system and the reservoir is demonstrated, where the information backflow from the reservoir needs to be included in the computation. Also, the derivation of the basis in the quantum stochastic Schrödinger picture is shown. As a paradigmatic model, the Heisenberg spin chain with nearest-neighbor interaction is used. It is demonstrated that the algorithm allows for the access of large systems sizes. As an example for a non-Markovian type of interaction, the generation of highly unusual steady states in the many-body system with coherent feedback control is demonstrated for a chain length of N=30.

scholarly journals Taming the Dynamical Sign Problem in Real-Time Evolution of Quantum Many-Body Problems

2015 ◽  
Vol 115 (26) ◽  
Author(s):  
Guy Cohen ◽  
Emanuel Gull ◽  
David R. Reichman ◽  
Andrew J. Millis
Keyword(s):  
Real Time ◽  
Time Evolution ◽  
Many Body ◽  
Sign Problem

scholarly journals Time Evolution of Correlation Functions in Quantum Many-Body Systems

2020 ◽  
Vol 124 (11) ◽  
Author(s):  
Álvaro M. Alhambra ◽  
Jonathon Riddell ◽  
Luis Pedro García-Pintos
Keyword(s):  
Time Evolution ◽  
Correlation Functions ◽  
Many Body ◽  
Many Body Systems

scholarly journals Fast converging path integrals for time-dependent potentials: II. Generalization to many-body systems and real-time formalism

2011 ◽  
Vol 2011 (03) ◽  
pp. P03005 ◽  
Author(s):  
Antun Balaž ◽  
Ivana Vidanović ◽  
Aleksandar Bogojević ◽  
Aleksandar Belić ◽  
Axel Pelster
Keyword(s):  
Real Time ◽  
Path Integrals ◽  
Time Dependent ◽  
Many Body ◽  
Time Formalism ◽  
Many Body Systems ◽  
Real Time Formalism

On the structure of the time-evolution process in many-body systems

Physica ◽  
1971 ◽  
Vol 54 (4) ◽  
pp. 477-503 ◽  
Author(s):  
R. Balescu ◽  
J. Wallenborn
Keyword(s):  
Time Evolution ◽  
Evolution Process ◽  
Many Body ◽  
Many Body Systems

scholarly journals QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems. Part II: bosons, fermions and higher spins

2019 ◽  
Vol 7 (2) ◽  
Author(s):  
Phillip Weinberg ◽  
Marin Bukov
Keyword(s):  
Hubbard Model ◽  
Time Evolution ◽  
Quantum Dynamics ◽  
Free Particle ◽  
Transverse Field ◽  
Theoretical Research ◽  
Many Body ◽  
Imaginary Time ◽  
Many Body Systems ◽  
Python Package

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.

Quantal cumulant dynamics for real-time simulations of quantum many-body systems

2014 ◽  
Vol 115 (5) ◽  
pp. 300-308 ◽  
Author(s):  
Yasuteru Shigeta ◽  
Ryuhei Harada ◽  
Megumi Kayanuma ◽  
Mitsuo Shoji
Keyword(s):  
Real Time ◽  
Many Body ◽  
Many Body Systems ◽  
Real Time Simulations
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