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We investigate the entanglement entropy in quantum states featuring repeated sequential excitations of unit patterns in momentum space. In the scaling limit, each unit pattern contributes independently and universally to the entanglement…

Quantum Physics · Physics 2025-09-17 Jiaju Zhang

In this article, we formulate the study of the unitary time evolution of systems consisting of an infinite number of uncoupled time-dependent harmonic oscillators in mathematically rigorous terms. We base this analysis on the theory of a…

Mathematical Physics · Physics 2009-10-06 Daniel Gómez Vergel , Eduardo J. S. Villaseñor

We study the real-time dynamics of the order parameter $<\sigma(t)>$ in the Ising field theory after a quench in the fermion mass, which corresponds to a quench in the transverse field of the corresponding transverse field Ising chain. We…

Strongly Correlated Electrons · Physics 2013-01-14 Dirk Schuricht , Fabian H. L. Essler

We study how time-dependent energy fluctuations impact the dynamical quantum phase transitions (DQPTs) following a noisy ramped quench of the transverse magnetic field in a quantum Ising chain. By numerically solving the stochastic…

Statistical Mechanics · Physics 2025-01-13 R. Jafari , A. Langari , S. Eggert , Henrik Johannesson

We numerically investigate the momentum-space entanglement entropy and entanglement spectrum of the random-dimer model and its generalizations, which circumvent Anderson localization, after a quench in the Hamiltonian parameters. The type…

Strongly Correlated Electrons · Physics 2019-12-18 Rex Lundgren , Fangli Liu , Pontus Laurell , Gregory A. Fiete

The effect of interactions on a system of fermions that are in a non-equilibrium steady state due to a quantum quench is studied employing the random-phase-approximation (RPA). As a result of the quench, the distribution function of the…

Strongly Correlated Electrons · Physics 2015-05-28 Jarrett Lancaster , Thierry Giamarchi , Aditi Mitra

We analyze a system of two colliding ultracold atoms under strong harmonic confinement from the viewpoint of quantum defect theory and formulate a generalized self-consistent method for determining the allowed energies. We also present two…

Atomic Physics · Physics 2013-05-29 Gillian Peach , Ian B Whittingham , Timothy J Beams

In the context of characterizing the structure of quantum entanglement in many-body systems, we introduce the entanglement contour, a tool to identify which real-space degrees of freedom contribute, and how much, to the entanglement of a…

Strongly Correlated Electrons · Physics 2016-11-25 Yangang Chen , Guifre Vidal

We review the conformal field theory approach to entanglement entropy. We show how to apply these methods to the calculation of the entanglement entropy of a single interval, and the generalization to different situations such as finite…

Statistical Mechanics · Physics 2009-12-08 Pasquale Calabrese , John Cardy

The one-plaquette Hamiltonian of large N lattice gauge theory offers a constructive model of a $1+1$-dimensional string theory with a stable ground state. The free energy is found to be equivalent to the partition function of a string where…

High Energy Physics - Theory · Physics 2010-11-01 S. Chaudhuri , H. Itoyama , T. Ooshita

The entanglement entropy of a distinguished region of a quantum many-body system reflects the entanglement present in its pure ground state. In this work, we establish scaling laws for this entanglement for critical quasi-free fermionic and…

Quantum Physics · Physics 2014-11-11 M. Cramer , J. Eisert , M. B. Plenio

We numerically investigate statistical ensembles for the occupations of eigenstates of an isolated quantum system emerging as a result of quantum quenches. The systems investigated are sparse random matrix Hamiltonians and disordered…

Statistical Mechanics · Physics 2012-09-14 Fabian Kolley , Oriol Bohigas , Boris V. Fine

We introduce a series of quantities which characterizes a given local operator in conformal field theories from the viewpoint of quantum entanglement. It is defined by the increased amount of (Renyi) entanglement entropy at late time for an…

High Energy Physics - Theory · Physics 2014-03-26 Masahiro Nozaki , Tokiro Numasawa , Tadashi Takayanagi

The quench dynamics of the Hubbard model in tilted and harmonic potentials is discussed within the semiclassical picture. Applying the fermionic truncated Wigner approximation (fTWA), the dynamics of imbalances for charge and spin degrees…

Statistical Mechanics · Physics 2022-10-18 Aleksander Kaczmarek , Adam S. Sajna

The existence of topological zero modes in nontrivial phase of quantum Ising chain results in not only the Kramers-like degeneracy spectrum, but also dynamic response for non-Hermitian perturbation in the ordered phase (2021 Phys. Rev.…

Quantum Physics · Physics 2022-09-16 K. L. Zhang , Z. Song

Charge-density wave phases in quantum materials stem from the complex interplay of electronic and lattice degrees of freedom. Nowadays, various time-resolved spectroscopy techniques allow to actively manipulate such phases and monitor their…

Strongly Correlated Electrons · Physics 2024-05-14 Eva Paprotzki , Alexander Osterkorn , Vibhu Mishra , Stefan Kehrein

In a recent work by Gong and Ueda (arXiv:1710.05289), the classification of (1+1)-dimensional quench dynamics for the ten Altland-Zirnbauer classes is achieved, and entanglement-spectrum crossings of the time-dependent states for the…

Strongly Correlated Electrons · Physics 2019-04-03 Shuangyuan Lu , Jinlong Yu

Motivated by the limited understanding of entanglement entropy in non-asymptotically AdS spacetimes, we develop a framework in which a circular string is embedded as a quantum probe in a spherically symmetric curved spacetime, and its…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Ai-chen Li , Xin-Fei Li , Xuanting Ji

We describe a novel class of quantum mechanical particle oscillations in both relativistic and non-relativistic systems based on $PT$ symmetry and $T^2=-1$ (relevant for fermions), where $P$ is parity and $T$ is time reversal. The…

Quantum Physics · Physics 2024-10-04 Leqian Chen , Sarben Sarkar

We study the interplay between an inhomogeneous quantum quench of the external potential in a system of relativistic fermions in one dimension and the well-known Klein tunneling. We find that the large time evolution is characterized by…

Statistical Mechanics · Physics 2015-12-25 Leda Bucciantini , Spyros Sotiriadis , Tommaso Macrì
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