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A very elementary model of a single positive hermitian random matrix coupled to an external matrix is defined and studied. Expanding the exact effective action around its classical solution leads to the ``quantum Penner action'', from which…

High Energy Physics - Theory · Physics 2008-02-03 Camillo Imbimbo , Sunil Mukhi

We study the non-equilibrium dynamics of the Luttinger model after suddenly turning on and off the bare Coulomb interaction between the fermions. We analyze several correlation functions such as the one particle density matrix and vertex…

Strongly Correlated Electrons · Physics 2015-06-12 N. Nessi , A. Iucci

The dynamics of entanglement and uncertainty relation is explored by solving the time-dependent Schr\"{o}dinger equation for coupled harmonic oscillator system analytically when the angular frequencies and coupling constant are arbitrarily…

Quantum Physics · Physics 2018-03-30 DaeKil Park

In a quantum many-body system that possesses an additive conserved quantity, the entanglement entropy of a subsystem can be resolved into a sum of contributions from different sectors of the subsystem's reduced density matrix, each sector…

Statistical Mechanics · Physics 2020-03-26 Shachar Fraenkel , Moshe Goldstein

We propose a method to study dynamical response of a quantum system by evolving it with an imaginary-time dependent Hamiltonian. The leading non-adiabatic response of the system driven to a quantum-critical point is universal and…

Other Condensed Matter · Physics 2015-05-28 C. De Grandi , A. Polkovnikov , A. W. Sandvik

The time evolution of entanglement tracks how information propagates in interacting quantum systems. We study entanglement entropy in CFT$_2$ with a time-dependent Hamiltonian. We perturb by operators with time-dependent source functions…

High Energy Physics - Theory · Physics 2018-03-14 Allic Sivaramakrishnan

Confinement of excitations induces quasilocalized dynamics in disorder-free isolated quantum many-body systems in one spatial dimension. This occurrence is signalled by severe suppression of quantum correlation spreading and of entanglement…

We investigate the entanglement properties of the nonequilibrium dynamics of one-dimensional noninteracting Fermi gases released from a trap. The gas of N particles is initially in the ground state within hard-wall or harmonic traps, then…

Statistical Mechanics · Physics 2013-05-30 Ettore Vicari

The nonequilibrium dynamics of quantum fields is studied in inflationary cosmology, with particular emphasis on applications to the problem of post-inflation reheating. The Schwinger-Keldysh closed-time-path (CTP) formalism is utilized…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Stephen A. Ramsey

We perform a first-principles, non-perturbative investigation of quantum entanglement between partonic constituents in a strongly coupled 3+1-dimensional scalar Yukawa theory, using light-front Hamiltonian methods with controlled Fock-space…

High Energy Physics - Phenomenology · Physics 2026-05-19 Wenyu Zhang , Wenyang Qian , Yiyu Zhou , Yang Li , Qun Wang

We optimize a quantum walk of multiple fermions following a quench in a spin chain to generate near ideal resources for quantum networking. We first prove an useful theorem mapping the correlations evolved from specific quenches to the…

Quantum Physics · Physics 2014-10-08 Bedoor Alkurtass , Leonardo Banchi , Sougato Bose

The one-loop quantum corrections to the internal energy of some lattices due to the quantum fluctuations of the scalar field of phonons are studied. The band spectrum of the lattice is characterised in terms of the scattering data, allowing…

Mathematical Physics · Physics 2025-02-24 Lucia Santamaria-Sanz

We consider sudden quenches across quantum phase transitions in the $S=1$ XXZ model starting from the Haldane phase. We demonstrate that dynamical phase transitions may occur during these quenches that are identified by nonanalyticities in…

Statistical Mechanics · Physics 2019-07-02 I. Hagymási , C. Hubig , Ö. Legeza , U. Schollwöck

We study the scaling of the entanglement entropy in different classes of one-dimensional fermionic quasiperiodic systems with and without pairing, focusing on multifractal critical points/phases. We find that the entanglement entropy scales…

Strongly Correlated Electrons · Physics 2024-03-12 Miguel Gonçalves

We investigate the quantum entanglement in rapidity space of the soft gluon wave function of a quarkonium, in theories with non-trivial rapidity evolutions. We found that the rapidity evolution drastically changes the behavior of the…

High Energy Physics - Phenomenology · Physics 2022-08-11 Yizhuang Liu , Maciej A. Nowak , Ismail Zahed

The non-equilibrium dynamics of an isolated quantum system after a sudden quench to a dynamical critical point is expected to be characterized by scaling and universal exponents due to the absence of time scales. We explore these features…

Statistical Mechanics · Physics 2015-11-04 Anna Maraga , Alessio Chiocchetta , Aditi Mitra , Andrea Gambassi

The presence of a global internal symmetry in a quantum many-body system is reflected in the fact that the entanglement between its subparts is endowed with an internal structure, namely it can be decomposed as sum of contributions…

Statistical Mechanics · Physics 2023-03-31 Gilles Parez , Riccarda Bonsignori , Pasquale Calabrese

We investigate the non-equilibrium quantum dynamics and thermodynamics of free fermions suddenly coupled to a localized defect in a one-dimensional harmonic trap. This setup realizes a quantum quench transformation that gives rise to the…

Quantum Gases · Physics 2026-01-26 Beatrice Donelli , Gabriele De Chiara , Francesco Scazza , Stefano Gherardini

We employ holographic techniques to study quantum quenches at finite temperature, where the quenches involve varying the coupling of the boundary theory to a relevant operator with an arbitrary conformal dimension $2\leq\D\leq4$. The…

High Energy Physics - Theory · Physics 2015-06-15 Alex Buchel , Luis Lehner , Robert C. Myers , Anton van Niekerk

We study nonlinear response in quantum spin systems {near infinite-randomness critical points}. Nonlinear dynamical probes, such as two-dimensional (2D) coherent spectroscopy, can diagnose the nearly localized character of excitations in…

Disordered Systems and Neural Networks · Physics 2020-12-17 S. A. Parameswaran , Sarang Gopalakrishnan