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We investigate the Joule expansion of nonintegrable quantum systems that contain bosons or spinless fermions in one-dimensional lattices. A barrier initially confines the particles to be in half of the system in a thermal state described by…

Quantum Gases · Physics 2020-03-18 Jin Zhang , Y. Meurice , S. -W. Tsai

We study the spectrum and eigenstates of the quantum discrete Bose-Hubbard Hamiltonian in a finite one-dimensional lattice containing two bosons. The interaction between the bosons leads to an algebraic localization of the modified extended…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jean Pierre Nguenang , R. A. Pinto , Sergej Flach

We investigate the wave packet dynamics of a pair of particles that undergoes a rapid change of scattering length. The short-range interactions are modeled in the zero-range limit, where the quench is accomplished by switching the boundary…

Quantum Gases · Physics 2016-08-10 John P. Corson , John L. Bohn

Eigenstate Thermalization Hypothesis provides one picture of thermalization in a quantum system by looking at individual eigenstates. However, it is also important to consider how local observables reach equilibrium values dynamically.…

Statistical Mechanics · Physics 2017-02-28 Cheng-Ju Lin , Olexei I. Motrunich

One-dimensional spinless Bose and Fermi gases with contact interactions have the close interrelation via Girardeau's Bose-Fermi mapping, leading to the correspondences in their energy spectra and thermodynamics. However, correlation…

Quantum Gases · Physics 2018-01-19 Yuta Sekino , Shina Tan , Yusuke Nishida

We study the properties of dilute bosons immersed in a single component Fermi sea across a broad boson-fermion Feshbach resonance. The stability of the mixture requires that the bare interaction between bosons exceeds a critical value,…

Quantum Gases · Physics 2013-05-29 Zeng-Qiang Yu , Shizhong Zhang , Hui Zhai

We study in this paper the properties of a gas of fermions interacting {\em via} a scalar potential $v(q)=4\pi{e}^2/q^2$ for $q<\Lambda<<k_F$ at dimensions larger than one, where $\Lambda$ is a high momentum cutoff and $k_F$ is the fermi…

Strongly Correlated Electrons · Physics 2007-05-23 T. K. Ng

We report on the experimental observation of scaling in the time evolution following a sudden quench into the vicinity of a quantum critical point. The experimental system, a two-component Bose gas with coherent exchange between the…

We study the unitary dynamics and the thermalization properties of free-fermion-like Hamiltonians after a sudden quantum quench, extending the results of S. Ziraldo et al. [Phys. Rev. Lett. 109, 247205 (2012)]. With analytical and numerical…

Disordered Systems and Neural Networks · Physics 2013-02-22 Simone Ziraldo , Giuseppe E. Santoro

Macroscopic coherence is an important feature of quantum many-body systems exhibiting collective behaviors, with examples ranging from atomic Bose-Einstein condensates, and quantum liquids to superconductors. Probing many-body coherence in…

The entanglement properties of quenched quantum systems have been studied for a decade, however results in dimensions other than $d=1$ are generally lacking. We remedy this by investigating the entanglement properties of bosonic critical…

Quantum Gases · Physics 2016-07-27 Yonah Lemonik , Aditi Mitra

We study the momentum space entanglement spectra of bosonic and fermionic formulations of the spin-1/2 XXZ chain with analytical methods and exact diagonalization. We investigate the behavior of the entanglement gaps, present in both…

Strongly Correlated Electrons · Physics 2014-12-23 Rex Lundgren , Jonathan Blair , Martin Greiter , Andreas Läuchli , Gregory A. Fiete , Ronny Thomale

Within quantum information frameworks, managing decoherence stands as a pivotal task. The present work delves into decoherence dynamics of a dressed qubit, represented by a spinless fermion hopping between two lattice sites that are…

Quantum Physics · Physics 2025-01-03 Saima Bashir , Muzaffar Qadir Lone , Prince A Ganai

Many-body systems driven out of equilibrium can exhibit scaling flows of the quantum state. For a sudden quench to resonant interactions between particles we construct a new class of analytical scaling solutions for the time evolved wave…

Quantum Gases · Physics 2022-08-30 Tilman Enss , Noel Cuadra Braatz , Giacomo Gori

We investigate the dynamics of bound states of two interacting particles, either bosons or fermions, performing a continuous-time quantum walk on a one-dimensional lattice. We consider the situation where the distance between both particles…

Mesoscale and Nanoscale Physics · Physics 2015-11-06 P. L. Krapivsky , J. M. Luck , K. Mallick

We provide an account of the static and dynamic properties of hard-core bosons in a one-dimensional lattice subject to a multi-chromatic quasiperiodic potential for which the single-particle spectrum has mobility edges. We use the mapping…

Quantum Gases · Physics 2013-06-21 Pedro Ribeiro , Masudul Haque , Achilleas Lazarides

We study the dynamics and the resulting state after relaxation in a quasi-disordered integrable lattice system after a sudden quench. Specifically, we consider hard-core bosons in an isolated one-dimensional geometry in the presence of a…

Statistical Mechanics · Physics 2012-11-19 Christian Gramsch , Marcos Rigol

Dimensionality plays an essential role in determining the nature and properties of a physical system. For quantum systems the impact of interactions and fluctuations is enhanced in lower dimensions, leading to a great diversity of genuine…

We study a weak interaction quench in a three-dimensional Fermi gas. We first show that, under some general assumptions on time-dependent perturbation theory, the perturbative expansion of the long-wavelength structure factor $S(\bq)$ is…

Quantum Gases · Physics 2014-11-06 Anna Maraga , Alessandro Silva , Michele Fabrizio

We study theoretically the non-equilibrium dynamics of a two-dimensional (2D) uniform Bose superfluid following a quantum quench, from its short-time (prethermal) coherent dynamics to its long-time thermalization. Using a quantum…

Quantum Gases · Physics 2023-04-19 Clément Duval , Nicolas Cherroret