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We present our program for the development of quantum informational concepts in relativistic systems in terms of the unequal-time correlation functions of quantum fields. We employ two formalisms that provide the basis for further…

Quantum Physics · Physics 2024-01-17 Charis Anastopoulos , Bei-Lok Hu , Konstantina Savvidou

A quantum many-body system undergoes phase transitions of distinct species with variations of local and global parameters. We propose a framework in which a dynamical quantity can change its behavior for quenches across global…

Quantum Physics · Physics 2023-10-27 Leela Ganesh Chandra Lakkaraju , Srijon Ghosh , Debasis Sadhukhan , Aditi Sen De

A possible way toward the quantization of a weak gravitational field inspired by the imaginary-time field theory is discussed. The analogies of the general relativity in the canonical formulation with the thermodynamic geometry and…

General Relativity and Quantum Cosmology · Physics 2014-07-15 Yi-Cheng Huang

We set the formalism to study the way in which the choice of canonical equilibrium initial conditions affect the real-time dynamics of quantum disordered models. We use a path integral formulation on a time contour with real and imaginary…

Disordered Systems and Neural Networks · Physics 2019-05-22 Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi

We develop a novel real-time approach to computing the entanglement between spatial regions for Gaussian states in quantum field theory. The entanglement entropy is characterized in terms of local correlation functions on space-like Cauchy…

High Energy Physics - Theory · Physics 2018-05-23 Jürgen Berges , Stefan Floerchinger , Raju Venugopalan

We study the relative entanglement entropies of one interval between excited states of a 1+1 dimensional conformal field theory (CFT). To compute the relative entropy $S(\rho_1 \| \rho_0)$ between two given reduced density matrices $\rho_1$…

High Energy Physics - Theory · Physics 2017-02-14 Paola Ruggiero , Pasquale Calabrese

We discuss the nonlocal nature of quantum mechanics and the link with relativistic quantum mechanics such as formulated by quantum field theory. We use here a nonlocal quantum field theory (NLQFT) which is finite, satisfies Poincar\'e…

High Energy Physics - Theory · Physics 2024-01-12 Robin Landry , John Moffat

An exact real time quantum dynamics preaveraged over imaginary time path integral is formulated for general condensed phase equilibrium ensemble. This formulation results in the well-known centroid dynamics approach upon filtering of…

Quantum Physics · Physics 2014-02-11 Seogjoo Jang

The infinite-time average of the expectation values of local fields of any interacting quantum theory after a global quench process are key quantities for matching theoretical and experimental results. For quantum integrable field theories,…

Statistical Mechanics · Physics 2015-06-16 Giuseppe Mussardo

We show how to compute the purity and entanglement entropy for quantum fields in a systematic perturbative expansion. To that end, we generalize the in-in formalism to non-unitary dynamics (i.e. accounting for the presence of an…

High Energy Physics - Theory · Physics 2024-08-29 Thomas Colas , Julien Grain , Greg Kaplanek , Vincent Vennin

We consider quantum quenches in integrable models. We argue that the behaviour of local observables at late times after the quench is given by their expectation values with respect to a single representative Hamiltonian eigenstate. This can…

Statistical Mechanics · Physics 2013-07-29 Jean-Sebastien Caux , Fabian H. L. Essler

We consider quantum quenches to the sinh-Gordon integrable quantum field theory from a particular class of initial states. Our analysis includes the case of mass and interaction quenches starting from a non-interacting theory. By means of…

Statistical Mechanics · Physics 2016-06-06 Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese

We investigate the real-time dynamics of the $(1+1)$-dimensional U(1) gauge theory known as the Schwinger model via variational quantum algorithms. Specifically, we simulate quench dynamics in the presence of an external electric field.…

High Energy Physics - Phenomenology · Physics 2023-08-16 Lento Nagano , Aniruddha Bapat , Christian W. Bauer

We present a didactical approach to the which-way experiment and the counterintuitive effect of the quantum erasure for one-particle quantum interferences. The fundamental concept of entanglement plays a central role and highlights the…

Quantum Physics · Physics 2010-11-16 Christian Ferrari , Bernd Braunecker

We discuss the time-continuous path integration in the coherent states basis in a way that is free from inconsistencies. Employing this notion we reproduce known and exact results working directly in the continuum. Such a formalism can set…

Quantum Physics · Physics 2016-05-24 G. Kordas , S. I. Mistakidis , A. I. Karanikas

In this work, we investigate local quench dynamics in two-dimensional conformal field theories using Krylov space methods. We derive Lanczos coefficients, spread complexity, and Krylov entropies for local joining and splitting quenches in…

High Energy Physics - Theory · Physics 2025-10-21 Pawel Caputa , Giuseppe Di Giulio

Applicability of Feynman path integral approach to numerical simulations of quantum dynamics in real time domain is examined. Coherent quantum dynamics is demonstrated with one dimensional test cases (quantum dot models) and performance of…

Computational Physics · Physics 2023-07-19 Ilkka Ruokosenmäki , Tapio T. Rantala

A standard approach to analyzing tunneling processes in various physical contexts is to use instanton or imaginary time path techniques. For systems in which the tunneling takes place in a time dependent setting, the standard methods are…

High Energy Physics - Theory · Physics 2009-10-30 Esko Keski-Vakkuri , Per Kraus

The study of the non-equilibrium dynamics of many-body systems after a quantum quench received a considerable boost and a deep theoretical understanding from the path integral formulation in imaginary time. However, the celebrated problem…

Statistical Mechanics · Physics 2022-11-23 Paola Ruggiero , Pasquale Calabrese , Thierry Giamarchi , Laura Foini

In analytic descriptions of quantum quenches, the overlaps between the initial pre-quench state and the eigenstates of the time evolving Hamiltonian are crucial ingredients. We construct perturbative expansions of these overlaps in quantum…

Statistical Mechanics · Physics 2019-09-04 Kristóf Hódsági , Márton Kormos , Gábor Takács