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We study the time evolution of the R\'enyi entanglement entropies following a quantum quench in a two-dimensional (2D) free-fermion system. By employing dimensional reduction, we effectively transform the 2D problem into decoupled chains, a…

统计力学 · 物理学 2023-10-30 Shion Yamashika , Filiberto Ares , Pasquale Calabrese

We investigate the time-dependent R\'{e}nyi entanglement entropy after a quantum quench starting from the Mott-insulating and charge-density-wave states in a one-dimensional free boson system. The second R\'{e}nyi entanglement entropy is…

The time evolution of the entanglement entropy in non-equilibrium quantum systems provides crucial information about the structure of the time-dependent state. For quantum quench protocols, by combining a quasiparticle picture for the…

统计力学 · 物理学 2018-03-30 Vincenzo Alba , Pasquale Calabrese

We investigate the dynamics of one-dimensional interacting bosons in an optical lattice after a sudden quench in the Bose-Hubbard (BH) and sine-Gordon (SG) regimes. While in higher dimension, the Mott-superfluid phase transition is observed…

We study the entanglement dynamics generated by quantum quenches in the quantum cellular automaton Rule $54$. We consider the evolution from a recently introduced class of solvable initial states. States in this class relax (locally) to a…

统计力学 · 物理学 2021-12-22 Katja Klobas , Bruno Bertini

We study the out-of-equilibrium dynamics of a dilute, lattice-confined Bose-Fermi mixture initialized in a highly excited state consisting of boson-fermion pairs (doublons) occupying single lattice sites. This system represents a…

量子气体 · 物理学 2019-11-12 Martin Gärttner , Arghavan Safavi-Naini , Johannes Schachenmayer , Ana Maria Rey

We discuss a scheme to measure the many-body entanglement growth during quench dynamics with bosonic atoms in optical lattices. By making use of a 1D or 2D setup in which two copies of the same state are prepared, we show how arbitrary…

量子气体 · 物理学 2012-07-26 A. J. Daley , H. Pichler , J. Schachenmayer , P. Zoller

We study the dynamics of bosonic atoms on a two-dimensional square lattice, where atomic interactions are long-ranged with either a box or soft-core shape. The latter can be realized through laser dressing ground-state atoms to…

量子气体 · 物理学 2020-01-22 Yijia Zhou , Yongqiang Li , Rejish Nath , Weibin Li

We study entropy generation in a one-dimensional (1D) model of bosons in an optical lattice experiencing two-particle losses. Such heating is a major impediment to observing exotic low temperature states, and "simulating" condensed matter…

量子气体 · 物理学 2010-09-03 Stefan K. Baur , Erich J. Mueller

We experimentally and numerically investigate the sudden expansion of fermions in a homogeneous one-dimensional optical lattice. For initial states with an appreciable amount of doublons, we observe a dynamical phase separation between…

We review recent exact results for the free expansion of impenetrable bosons on one-dimensional lattices, after switching off a confining potential. When the system is initially in a superfluid state, far from the regime in which the…

统计力学 · 物理学 2007-05-23 Marcos Rigol , Alejandro Muramatsu

We unravel the nonequilibrium quantum dynamics of two harmonically confined bosons in one spatial dimension when performing an interaction quench from finite repulsive to attractive interaction strengths and vice versa. A closed analytical…

量子物理 · 物理学 2019-05-03 L. Budewig , S. I. Mistakidis , P. Schmelcher

The linear growth of entanglement after a quench from a state with short-range correlations is a universal feature of many body dynamics. It has been shown to occur in integrable and chaotic systems undergoing either Hamiltonian, Floquet or…

统计力学 · 物理学 2024-12-13 Konstantinos Chalas , Pasquale Calabrese , Colin Rylands

The concept of spontaneous symmetry breaking and off-diagonal long-range order (ODLRO) are associated with Bose-Einstein condensation. However, as in the system of reduced dimension the effect of quantum fluctuation is dominating, the…

量子气体 · 物理学 2022-02-10 Sangita Bera , Luca Salasnich , Barnali Chakrabarti

We investigate the expansion of bosons and fermions in a homogeneous lattice after a sudden removal of the trapping potential using exact numerical methods. As a main result, we show that in one dimension, both bosonic and fermionic Mott…

量子气体 · 物理学 2013-12-18 L. Vidmar , S. Langer , I. P. McCulloch , U. Schneider , U. Schollwoeck , F. Heidrich-Meisner

In the strongly interacting limit of the Hubbard model localized double-occupancies form effective hard-core bosonic excitations, called a doublons, which are long-lived due to energy conservation. Using time-dependent density-matrix…

量子气体 · 物理学 2020-03-18 Matthew W Cook , Stephen R Clark

Long-range order in quantum many-body systems is usually associated with equilibrium situations. Here, we experimentally investigate the quasicondensation of strongly-interacting bosons at finite momenta in a far-from-equilibrium case. We…

We study the time-dependent dynamical properties of two-component ultracold fermions in a one-dimensional optical superlattice by applying the adaptive time-dependent density matrix renormalization group to a repulsive Hubbard model with an…

量子气体 · 物理学 2009-11-30 Atsushi Yamamoto , Makoto Yamashita , Norio Kawakami

We investigate the second R\'enyi entropy of two intervals in the massless Thirring model describing a self-interacting Dirac fermion in two dimensions. Boson-fermion duality relating this model to a free compact boson theory enables us to…

高能物理 - 理论 · 物理学 2023-12-19 Harunobu Fujimura , Tatsuma Nishioka , Soichiro Shimamori

Entanglement entropy under a particle bipartition provides complementary information to mode entanglement as it is sensitive to interactions and particle statistics at leading order and does not depend on any externally imposed length…

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