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Related papers: Equilibration and GGE for hard wall boundary condi…

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We investigate an integrable boundary quench, in which one integrable boundary condition is suddenly switched to another. We develop a general framework for analyzing the resulting real-time dynamics based on form factors of bulk and…

High Energy Physics - Theory · Physics 2026-05-07 Zoltán Bajnok , Dávid Fülepi , Máté Lencsés

The equilibration dynamics of a closed quantum system is encoded in the long-time distribution function of generic observables. In this paper we consider the Loschmidt echo generalized to finite temperature, and show that we can obtain an…

Quantum Physics · Physics 2011-08-03 Lorenzo Campos Venuti , N. Tobias Jacobson , Siddhartha Santra , Paolo Zanardi

We construct the multilevel correlation kernel for the rising GUE eigenvalue process starting from a fixed initial configuration $x^{(m)}$, and show that it converges on short time scales (as quickly as $\text{polylog}(m)$) to the extended…

Probability · Mathematics 2026-05-01 Zoe Himwich

We investigate the dynamics of Mott-insulating regions of a trapped bosonic gas as the interaction strength is changed linearly with time. The bosonic gas considered is loaded into an optical lattice and confined to a parabolic trapping…

The problem of self-trapping of a Bose-Einstein condensate (BEC) and a binary BEC in an optical lattice (OL) and double well (DW) is studied using the mean-field Gross-Pitaevskii equation. For both DW and OL, permanent self-trapping occurs…

Quantum Gases · Physics 2015-05-27 S. K. Adhikari

We use the coordinate Bethe ansatz to exactly calculate matrix elements between eigenstates of the Lieb-Liniger model of one-dimensional bosons interacting via a two-body delta-potential. We investigate the static correlation functions of…

Quantum Gases · Physics 2016-04-15 J. C. Zill , T. M. Wright , K. V. Kheruntsyan , T. Gasenzer , M. J. Davis

A bosonic analogue of the fractional quantum Hall eff ect occurs in rapidly rotating trapped Bose gases: There is a transition from uncorrelated Hartree states to strongly correlated states such as the Laughlin wave function. This physics…

Mathematical Physics · Physics 2015-06-12 Nicolas Rougerie , Sylvia Serfaty , Jakob Yngvason

This work explores fundamental statistical and thermodynamic properties of short-and long-range-interacting systems. The purpose of this study is twofold. Firstly, we rigorously prove that the probability distribution of arbitrary few-body…

Statistical Mechanics · Physics 2020-08-19 Tomotaka Kuwahara , Keiji Saito

We present experimental results that demonstrate a glassy behavior in the conductance of quench condensed insulating granular metals that is different from that observed in continuous disordered systems. Exciting the granular system by…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Kurzweil , A. Frydman

The behavior of a driven granular gas in a container consisting of $M$ connected compartments is studied employing a microscopic kinetic model. After obtaining the governing equations for the occupation numbers and the granular temperatures…

Statistical Mechanics · Physics 2009-11-10 U. Marini Bettolo Marconi , Massimo Conti

Quantum electrodynamics in $1+1$ dimensions (Schwinger model) on an interval admits lattice discretization with a finite-dimensional Hilbert space, and is often used as a testbed for quantum and tensor network simulations. In this work we…

High Energy Physics - Lattice · Physics 2023-03-23 Takuya Okuda

The local quench of a Fermi gas, giving rise to the Fermi edge singularity and the Anderson orthogonality catastrophe, is a rare example of an analytically tractable out of equilibrium problem in condensed matter. It describes the universal…

Statistical Mechanics · Physics 2015-06-17 A. Sindona , N. Lo Gullo , J. Goold , F. Plastina

We consider a Bose-Einstein condensate (BEC) with attractive two-body interactions in a cigar-shaped trap, initially prepared in its ground state for a given negative scattering length, which is quenched to a larger absolute value of the…

Quantum Gases · Physics 2018-05-11 Jake Golde , Joanna Ruhl , Sumita Datta , Boris A. Malomed , Maxim Olshanii , Vanja Dunjko

Entanglement properties of bipartite unitary operators are studied via their local invariants, namely the entangling power $e_p$ and a complementary quantity, the gate typicality $g_t$. We characterize the boundaries of the set $K_2$…

Quantum Physics · Physics 2020-10-28 Bhargavi Jonnadula , Prabha Mandayam , Karol Życzkowski , Arul Lakshminarayan

In this work we investigate the equilibration dynamics after a sudden Hamiltonian quench of a quantum spin system initially prepared in a thermal state. To characterize the equilibration we evaluate the Loschmidt echo, a global measure for…

Quantum Physics · Physics 2011-09-13 N. Tobias Jacobson , Lorenzo Campos Venuti , Paolo Zanardi

We consider a lattice gas interacting by the exclusion rule in the presence of a random field given by i.i.d. bounded random variables in a bounded domain in contact with particles reservoir at different densities. We show, in dimensions $d…

Probability · Mathematics 2015-05-13 Mustapha Mourragui , Enza Orlandi

The (Loschmidt) overlap between the state at different times after a quantum quench is attracting increasing interest, as it was recently shown that in the thermodynamic limit its logarithm per unit of length has a non-analytic behavior if…

Statistical Mechanics · Physics 2013-09-09 Maurizio Fagotti

We study the non-equilibrium quench dynamics crossing a continuous phase transition between the charge density wave (CDW) and supersolid (SS) phases of a bosonic lattice gas with cavity-mediated interactions. When changing the hopping…

Quantum Gases · Physics 2022-09-27 Huan Wang , Xiayao He , Shuai Li , Hongrong Li , Bo Liu

The Lieb-Liniger model which has a weak external potential term under the periodic boundary condition is investigated. By exploiting the Bethe states as bases, we perform a perturbation analysis up to the first order to obtain the shifts of…

Quantum Gases · Physics 2014-02-13 Hironobu Fujishima , Tetsu Yajima

When the strength of interaction between a quantum system and bath is non-negligible, the equilibrium state can deviate from the Gibbs state. But the expression of such a mean force Gibbs state in an arbitrary parameter regime is unknown…

Quantum Physics · Physics 2025-08-27 Prem Kumar