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On the basis of the full analytical solution of the overall unitary dynamics, the time evolution of entanglement is studied in a simple bipartite model system evolving unitarily from a pure initial state. The system consists of two…

量子物理 · 物理学 2012-05-10 Fernanda Pinheiro , A. F. R. de Toledo Piza

Spontaneous symmetry breaking generally circumvents one-dimensional systems with local interactions in thermal equilibrium. Here, we analyze a category of one-dimensional Hermitian models via local non-Hermitian constructions. Notably,…

量子物理 · 物理学 2025-06-30 Jia-Bao Wang , Zi-Hao Dong , Yi Zhang

We construct entanglement renormalization schemes which provably approximate the ground states of non-interacting fermion nearest-neighbor hopping Hamiltonians on the one-dimensional discrete line and the two-dimensional square lattice.…

One-dimensional quantum systems admit duality relations that put hard core spinless bosons and fermions in one-to-one correspondence via Girardeau's mapping theorem. The simplest models of soft bosons interacting via zero-range potentials…

量子气体 · 物理学 2021-02-24 Manuel Valiente

We study the temporal evolution of entanglement pertaining to two qubits interacting with a thermal bath. In particular we consider the simplest nontrivial spin bath models where symmetry breaking occurs and treat them by mean field…

量子物理 · 物理学 2009-11-10 Marco Lucamarini , Simone Paganelli , Stefano Mancini

Entanglement and stabilizer entropy are both involved in the onset of complex behavior in quantum many-body systems. Their interplay is at the root of complexity of simulability, scrambling, thermalization and typicality. In this work, we…

量子物理 · 物理学 2025-09-16 Jovan Odavić , Michele Viscardi , Alioscia Hamma

We study the non-equilibrium dynamics of a disordered quantum system consisting of harmonic oscillators in a $d$-dimensional lattice. If the system is sufficiently localized, we show that, starting from a broad class of initial product…

数学物理 · 物理学 2022-11-15 Houssam Abdul-Rahman

Entanglement fluctuations associated with Schr\"{o}dinger evolution of wavefunctions offer a unique perspective on various fundamental issues ranging from quantum thermalization to state preparation in quantum devices. Very recently, a…

量子物理 · 物理学 2024-11-25 Cunzhong Lou , Chushun Tian , Zhixing Zou , Tao Shi , Lih-King Lim

In this article we study the quench dynamics of Galilean and scale invariant many-body systems which can be prepared using interacting atomic gases. The far-away from equilibrium dynamics are investigated by employing $m$-body density…

量子气体 · 物理学 2019-08-07 Jeff Maki , Fei Zhou

We study families of dynamical maps generated from interactions with varying degrees of symmetry. For a family of time-independent Hamiltonians, we demonstrate the relationship between symmetry, strong-coupling, perfect entanglers,…

量子物理 · 物理学 2023-02-15 Sean Prudhoe , Sarah Shandera

We investigate details of the chaotic dynamics of dual-unitary quantum circuits by evaluating all $2k$-point out-of-time-ordered correlators. For the generic class of circuits, by writing the correlators as contractions of a class of…

统计力学 · 物理学 2025-07-21 Hyaline Junhe Chen , Jonah Kudler-Flam

This is a review paper concerned with the global consistency of the quantum dynamics of non-commutative systems. Our point of departure is the theory of constrained systems, since it provides a unified description of the classical and…

高能物理 - 理论 · 物理学 2015-05-13 F. S. Bemfica , H. O. Girotti

The nature of randomness and complexity growth in systems governed by unitary dynamics is a fundamental question in quantum many-body physics. This problem has motivated the study of models such as local random circuits and their…

量子物理 · 物理学 2025-10-10 Laura Cui , Thomas Schuster , Liang Mao , Hsin-Yuan Huang , Fernando Brandao

We investigate the entanglement properties of the nonequilibrium dynamics of one-dimensional noninteracting Fermi gases released from a trap. The gas of N particles is initially in the ground state within hard-wall or harmonic traps, then…

统计力学 · 物理学 2013-05-30 Ettore Vicari

We identify a universal short-time structure in symmetry-resolved entanglement dynamics -- the entanglement channel wave (ECW) -- arising from the decomposition of entanglement into conserved-quantum-number sectors that host robust,…

强关联电子 · 物理学 2025-08-25 Lihui Pan , Jie Chen , Chun Chen , Xiaoqun Wang

The open-system dynamics of entanglement plays an important role in the assessment of the robustness of quantum information processes and also in the investigation of the classical limit of quantum mechanics. Here we show that, subjacent to…

To produce a fermionic model exhibiting an entanglement entropy volume law, we propose a particular version of nonlocality in which the energy-momentum dispersion relation is effectively randomized at the shortest length scales while…

量子物理 · 物理学 2019-07-31 G. C. Levine

The effective low-energy excitations in a metallic or semimetallic crystalline system (i.e. electronic quasiparticles) always have a finite spatial extent. It is self-evident but virtually unexplored how the associated internal degrees of…

介观与纳米尺度物理 · 物理学 2021-11-19 Tobias Holder

We consider critical one dimensional quantum systems initially prepared in their groundstate and perturbed by a smooth noise coupled to the energy density. By using conformal field theory, we deduce a universal description of the…

统计力学 · 物理学 2023-04-04 Alexios Christopoulos , Pierre Le Doussal , Denis Bernard , Andrea De Luca

We begin a systematic investigation of quench dynamics in higher-dimensional lattice systems considering the case of non-interacting fermions with conserved particle number. We prepare the system in a translational-invariant non-equilibrium…

量子物理 · 物理学 2024-06-28 Molly Gibbins , Arash Jafarizadeh , Adam Gammon-Smith , Bruno Bertini