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We consider a chaotic many-body system (i.e., one that satisfies the eigenstate thermalization hypothesis) that is split into two subsystems, with an interaction along their mutual boundary, and study the entanglement properties of an…

Statistical Mechanics · Physics 2019-11-11 Chaitanya Murthy , Mark Srednicki

If and how an isolated quantum system thermalizes despite its unitary time evolution is a long-standing, open problem of many-body physics. The eigenstate thermalization hypothesis (ETH) postulates that thermalization happens at the level…

Quantum Gases · Physics 2018-11-06 Anna Posazhennikova , Mauricio Trujillo-Martinez , Johann Kroha

Quantum entanglement plays a crucial role not only in understanding Hermitian many-body systems but also in offering valuable insights into non-Hermitian quantum systems. In this paper, we analytically investigate the entanglement…

Quantum Physics · Physics 2025-04-09 Pei-Yun Yang , Yu-Chin Tzeng

Ultracold dipolar particles pinned in optical lattices or tweezers provide an excellent platform for studying out-of-equilibrium quantum magnetism with dipole-mediated couplings. Starting with an initial state with spins of opposite…

We study the spectral properties of a spin-boson Hamiltonian that depends on two continuous parameters $0\leq\Lambda<\infty$ (interaction strength) and $0\leq\alpha\leq\pi/2$ (integrability switch). In the classical limit this system has…

Other Condensed Matter · Physics 2009-11-13 Vyacheslav V. Stepanov , Gerhard Muller , Joachim Stolze

We review selected advances in the theoretical understanding of complex quantum many-body systems with regard to emergent notions of quantum statistical mechanics. We cover topics such as equilibration and thermalisation in pure state…

Quantum Physics · Physics 2018-06-14 C. Gogolin , J. Eisert

Focusing on isolated macroscopic systems, described either in terms of a quantum mechanical or a classical model, our two key questions are: In how far does an initial ensemble (usually far from equilibrium and largely unknown in detail)…

Statistical Mechanics · Physics 2013-11-13 Peter Reimann , Mykhaylo Evstigneev

We study, from a thermodynamic perspective, the equilibrium states of a qubit interacting with an arbitrary environment of dimension N>>2. We show that even in presence of memory about the initial state, in some cases the qubit can be…

Quantum Physics · Physics 2018-10-31 Andrés Vallejo , Alejandro Romanelli , Raul Donangelo

In this Letter, we investigate the stability of the statistical equilibrium of spherically symmetric collisionless self-gravitating systems. By calculating the second variation of the entropy, we find that perturbations of the relevant…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-08 Ping He , Dong-Biao Kang

We investigate entanglement between electronic and nuclear degrees of freedom for a model nonadiabatic system. We find that entanglement (measured by the von Neumann entropy of the subsystem for the eigenstates) is large in a statistical…

Quantum Physics · Physics 2009-11-10 Hiroshi Fujisaki

Entanglement pre-thermalization (EP) is a quasi-stationary nonequilibrium state of a composite system in which each individual subsystem looks thermal but the entire system remains nonthermal due to quantum entanglement between subsystems.…

Statistical Mechanics · Physics 2017-02-24 Tatsuhiko N. Ikeda , Takashi Mori , Eriko Kaminishi , Masahito Ueda

We investigate the stability of the many-body localized phase against quantum avalanche instabilities in a one-dimensional Heisenberg spin chain with long-range power-law interactions ($V\propto r^{-\alpha}$). By combining exact…

Disordered Systems and Neural Networks · Physics 2026-01-21 Longhui Shen , Bin Guo , Zhaoyu Sun

We study the possible breakdown of quantum thermalization in a model of itinerant electrons on a one-dimensional chain without disorder, with both spin and charge degrees of freedom. The eigenstates of this model exhibit peculiar properties…

Statistical Mechanics · Physics 2017-02-20 James R. Garrison , Ryan V. Mishmash , Matthew P. A. Fisher

We study the formation of spontaneous spin polarization in inhomogeneous electron systems with pair interaction localized in a small region that is not separated by a barrier from surrounding gas of non-interacting electrons. Such a system…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 Vladimir A. Sablikov , Bagun S. Shchamkhalova

New exact results about the nonequilibrium thermodynamics of open quantum systems at arbitrary timescales are obtained by considering all possible variations of initial conditions of a system, its environment, and correlations between them.…

Statistical Mechanics · Physics 2021-05-05 Paul M. Riechers , Mile Gu

The so-called eigenstate thermalization hypothesis (ETH), which has been tested in various manybody models by numerical simulations, supplies a way of understanding eventual thermalization and is believed to be important for understanding…

Statistical Mechanics · Physics 2024-10-17 Xiao Wang , Wen-ge Wang

We investigate the mixed-state entanglement between two spins embedded in the XXZ Heisenberg chain under thermal equilibrium. By deriving an analytical expression for the entanglement of two-spin thermal states and extending this analysis…

Quantum Physics · Physics 2025-02-28 Dihang Sun , Zhigang Hu , Biao Wu

We numerically examine slow and hierarchical relaxation dynamics of interacting bosons described by a tilted two-band Bose-Hubbard model. The system is found to exhibit signatures of quantum chaos within the spectrum and the validity of the…

Quantum Gases · Physics 2018-04-19 Jayson G. Cosme

Linear response theory (LRT) is one of the main approaches to the dynamics of quantum many-body systems. However, this approach has limitations and requires, e.g., that the initial state is (i) mixed and (ii) close to equilibrium. In this…

Statistical Mechanics · Physics 2019-01-15 Jonas Richter , Robin Steinigeweg

Entanglement entropy (EE) of a state is a measure of correlation or entanglement between two parts of a composite system and it may show appreciable change when the ground state (GS) undergoes a qualitative change in a quantum phase…

Strongly Correlated Electrons · Physics 2022-11-04 Sambunath Das , Dayasindhu Dey , S. Ramasesha , Manoranjan Kumar
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