Quantum Quenches in the Thermodynamic Limit

Abstract

We introduce a linked-cluster based computational approach that allows one to study quantum quenches in lattice systems in the thermodynamic limit. This approach is used to study quenches in one-dimensional lattices. We provide evidence that, in the thermodynamic limit, thermalization occurs in the nonintegrable regime but fails at integrability. A phase transitionlike behavior separates the two regimes.

8 pages, 8 figures, as published

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• Many-Body Localization in the Age of Classical Computing
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• Fundamental Asymmetry in Quenches Between Integrable and Nonintegrable Systems
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• Entanglement spreading in non-equilibrium integrable systems
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• Quantum quench in long-range field theories
• Eigenstate Gibbs Ensemble in Integrable Quantum Systems
• Many-body entropies, correlations, and emergence of statistical relaxation in interaction quench dynamics of ultracold bosons
• Classical simulation of short-time quantum dynamics
• Rényi entropies of generic thermodynamic macrostates in integrable systems
• Optimizing linked cluster expansions by white graphs
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• Ultrafast dynamics of finite Hubbard clusters - a stochastic mean-field approach
• Quasi-local charges and the Generalized Gibbs Ensemble in the Lieb-Liniger model
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• Quantum quenches in the thermodynamic limit. II. Initial ground states
• Optimization of finite-size errors in finite-temperature calculations of unordered phases
• Simulating the out-of-equilibrium dynamics of local observables by trading entanglement for mixture
• Prethermalization, thermalization, and Fermi's golden rule in quantum many-body systems
• Thermodynamics of two-dimensional spin models with bimodal random-bond disorder
• Numerical linked cluster expansions for quantum quenches in one dimensional lattices
• Non-Markovian dynamics with fermions
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• Quantum quench dynamics in the transverse-field Ising model: A numerical expansion in linked rectangular clusters
• Thermalization in closed quantum systems: semiclassical approach
• Numerical linked cluster expansions for inhomogeneous systems
• A generalized perspective on non-perturbative linked cluster expansions
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• Stationary ensemble approximations of dynamic quantum states: Optimizing the Generalized Gibbs Ensemble
• Thermalization of locally perturbed many-body quantum systems
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• Lanczos Boosted Numerical Linked-Cluster Expansion for Quantum Lattice Models
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• Thermodynamics of the disordered Hubbard model studied via numerical linked-cluster expansions
• Relaxation dynamics of ultracold bosons in a double-well potential: Thermalization and prethermalization in a nearly integrable model
• Extracting critical exponents for sequences of numerical data via series extrapolation techniques
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• Quasi-superfluid and Quasi-Mott phases of strongly interacting bosons in shallow optical lattice
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• Temperature and conditions for thermalization after canonical quenches
• Momentum Evolution Numerics of an Impurity in a Quantum Quench