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We study the effect of suddenly turning on a long-range interaction in a spinless Fermi gas in two dimensions. The short to intermediate time dynamics is obtained using the method of bosonization of the Fermi surface. This allow to…

Quantum Gases · Physics 2014-11-21 N. Nessi , A. Iucci , M. A. Cazalilla

We study the dynamics and thermalization of strongly correlated fermions in finite one-dimensional lattices after a quantum quench. Our calculations are performed using exact diagonalization. We focus on one- and two-body observables such…

Statistical Mechanics · Physics 2013-02-08 Marcos Rigol

We investigate the quantum dynamics of two identical bosons in a one-dimensional harmonic trap following an interaction quench from zero to infinite interaction strength and vice versa. For both quench scenarios, closed analytical…

Quantum Physics · Physics 2024-02-23 L. M. A. Kehrberger , V. J. Bolsinger , P. Schmelcher

Following a sudden change of interactions in an integrable system of one-dimensional fermions, we analyze the dependence of the static structure factor on the observation time after the quantum quench. At small waiting times after the…

Statistical Mechanics · Physics 2022-05-06 Adrian Del Maestro , Hatem Barghathi , Bernd Rosenow

We use our recently developed functional bosonization approach to bosonize interacting fermions in arbitrary dimension $d$ beyond the Gaussian approximation. Even in $d=1$ the finite curvature of the energy dispersion at the Fermi surface…

Condensed Matter · Physics 2016-08-31 Peter Kopietz , Joachim Hermisson , Kurt Schoenhammer

We study the non-equilibrium quench dynamics from free to hard-core one-dimensional bosons in the presence of a hard-wall confining potential. We characterise the density profile and the two-point fermionic correlation function in the…

Quantum Gases · Physics 2014-11-17 Paolo P. Mazza , Mario Collura , Márton Kormos , Pasquale Calabrese

Understanding the non-equilibrium dynamics of extended quantum systems after the trigger of a sudden, global perturbation (quench) represents a daunting challenge, especially in the presence of interactions. The main difficulties stem from…

Strongly Correlated Electrons · Physics 2009-11-13 Alexandre Faribault , Pasquale Calabrese , Jean-Sebastien Caux

We present results on quantum quenches in systems with a fixed number of particles in a large region. We show that the typical differences between local and global quenches present in systems with regular thermodynamic limit are lacking in…

Statistical Mechanics · Physics 2014-02-26 Yulia E. Shchadilova , Pedro Ribeiro , Masudul Haque

We study spectral properties and the dynamics after a quench of one-dimensional spinless fermions with short-range interactions and long-range random hopping. We show that a sufficiently fast decay of the hopping term promotes localization…

Disordered Systems and Neural Networks · Physics 2012-05-24 Ehsan Khatami , Marcos Rigol , Armando Relaño , Antonio M. Garcia-Garcia

For a system of spinless one-dimensional fermions, the non-vanishing short-range limit of two-body interaction is shown to induce the wave-function discontinuity. We prove the equivalence of this fermionic system and the bosonic particle…

Quantum Physics · Physics 2009-02-27 Taksu Cheon , T. Shigehara

Quantum simulation with ultracold atoms has become a powerful technique to gain insight into interacting many-body systems. In particular, the possibility to study nonequilibrium dynamics offers a unique pathway to understand correlations…

Quantum Gases · Physics 2015-07-29 Sebastian Will , Deepak Iyer , Marcos Rigol

We investigate the quantum quench dynamics of the interacting Hatano-Nelson model with open boundary conditions using both abelian bosonization and numerical methods. Specifically, we follow the evolution of the particle density and current…

Strongly Correlated Electrons · Physics 2023-07-07 Balázs Dóra , Miklós Antal Werner , Cătălin Paşcu Moca

A renormalization group approach is used to show that a one dimensional system of bosons subject to a lattice quench exhibits a finite-time dynamical phase transition where an order parameter within a light-cone increases as a non-analytic…

Strongly Correlated Electrons · Physics 2015-06-05 Aditi Mitra

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…

Quantum Gases · Physics 2020-01-22 Yijia Zhou , Yongqiang Li , Rejish Nath , Weibin Li

We study quench dynamics of the Bose-Hubbard model by exact diagonalization. Initially the system is at thermal equilibrium and of a finite temperature. The system is then quenched by changing the on-site interaction strength $U$ suddenly.…

Statistical Mechanics · Physics 2011-06-21 J. M. Zhang , C. Shen , W. M. Liu

The nonequilibrium quantum dynamics of few boson ensembles which experience a spatially modulated interaction strength and are confined in finite optical lattices is investigated. We utilize a cosinusoidal spatially modulated effective…

Quantum Gases · Physics 2018-10-30 T. Plaßmann , S. I. Mistakidis , P. Schmelcher

Searching for nonthermalized dynamics in interacting quantum systems is not only of fundamental theoretical interest in nonequilibrium quantum physics, but also of immense practical significance in quantum information processing. In this…

Quantum Gases · Physics 2020-02-26 Yikai Chen , Zi Cai

The correlated non-equilibrium dynamics of few-boson systems in one-dimensional finite lattices is investigated. Starting from weak interactions we perform a sudden interaction quench and employ the numerically exact Multi-Layer…

Quantum Gases · Physics 2017-10-31 S. I. Mistakidis , L. Cao , P. Schmelcher

The properties of prototypical examples of one-dimensional fermionic systems undergoing a sudden quantum quench from a gapless state to a (partially) gapped state are analyzed. By means of a Generalized Gibbs Ensemble analysis or by…

Quantum Gases · Physics 2018-01-23 S. Porta , F. M. Gambetta , N. Traverso Ziani , D. M. Kennes , M. Sassetti , F. Cavaliere

We use quantum quenches to study the dynamics and thermalization of hardcore bosons in finite one-dimensional lattices. We perform exact diagonalizations and find that, far away from integrability, few-body observables thermalize. We then…

Statistical Mechanics · Physics 2009-09-02 Marcos Rigol
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