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The study of quantum quenches in integrable systems has significantly advanced with the introduction of the Quench Action method, a versatile analytical approach to non-equilibrium dynamics. However, its application is limited to those…

Statistical Mechanics · Physics 2016-08-24 Lorenzo Piroli , Eric Vernier , Pasquale Calabrese

Quantum transition amplitudes are formulated for a model system with local internal time, using path integrals. The amplitudes are shown to be more regular near a turning point of internal time than could be expected based on existing…

General Relativity and Quantum Cosmology · Physics 2017-12-19 M. M. Amaral , Martin Bojowald

The study of the moments of the partially transposed density matrix provides a new and effective way of detecting bipartite entanglement in a many-body mixed state. This is valuable for cold-atom and ion-trap experiments, as well as in the…

Statistical Mechanics · Physics 2022-10-04 Sara Murciano , Vincenzo Alba , Pasquale Calabrese

Using relative entropy, we derive bounds on the time rate of change of geometric entanglement entropy for any relativistic quantum field theory in any dimension. The bounds apply to both mixed and pure states, and may be extended to curved…

High Energy Physics - Theory · Physics 2014-12-10 Steven G. Avery , Miguel F. Paulos

We study homogeneous quenches in integrable quantum field theory where the initial state contains zero-momentum particles. We demonstrate that the two-particle pair amplitude necessarily has a singularity at the two-particle threshold.…

Statistical Mechanics · Physics 2018-09-13 D. X. Horváth , M. Kormos , G. Takács

We study the time evolution of the logarithmic negativity after a global quantum quench. In a 1+1 dimensional conformal invariant field theory, we consider the negativity between two intervals which can be either adjacent or disjoint. We…

Statistical Mechanics · Physics 2014-12-23 Andrea Coser , Erik Tonni , Pasquale Calabrese

Understanding the mechanisms by which complex correlations emerge through the dynamics of quantum many-body systems remains a fundamental challenge in modern physics. To address this, quench dynamics starting from nonthermal states have…

High Energy Physics - Theory · Physics 2026-05-22 Zixia Wei , Yasushi Yoneta

We extend the branch point twist field approach for the calculation of entanglement entropies to time-dependent problems in 1+1-dimensional massive quantum field theories. We focus on the simplest example: a mass quench in the Ising field…

High Energy Physics - Theory · Physics 2019-12-24 Olalla A. Castro-Alvaredo , Máté Lencsés , István M. Szécsényi , Jacopo Viti

We revisit the path integral description of quantum tunneling and lay the groundwork for its generalization to excites states through real-time path integral techniques. For clarity, we focus on the simple toy model of a point particle in a…

High Energy Physics - Theory · Physics 2025-07-30 Thomas Steingasser , David I. Kaiser

The cavity method is a well established technique for solving classical spin models on sparse random graphs (mean-field models with finite connectivity). Laumann et al. [arXiv:0706.4391] proposed recently an extension of this method to…

Statistical Mechanics · Physics 2009-11-13 Florent Krzakala , Alberto Rosso , Guilhem Semerjian , Francesco Zamponi

We study the evolution of entanglement after a global quench in a one-dimensional quantum system with a localized impurity. For systems described by a conformal field theory, the entanglement entropy between the two regions separated by the…

Statistical Mechanics · Physics 2023-04-12 Luca Capizzi , Viktor Eisler

We present a framework to study the entanglement structure of a quantum field theory inspired by the formalism of particle detectors in relativistic quantum information. This framework can in principle be used to faithfully capture…

The discrete-time quantum walk is a quantum counterpart of the random walk. It is expected that the model plays important roles in the quantum field. In the quantum information theory, entanglement is a key resource. We use the von Neumann…

Quantum Physics · Physics 2011-09-21 Yusuke Ide , Norio Konno , Takuya Machida

We propose a framework for temporal quantum theories for the purpose of describing states and observables associated with extended regions of space time quantum mechanically. The proposal is motivated by Isham's history theories. We discuss…

Mathematical Physics · Physics 2009-10-31 Oliver Rudolph

Quantum entanglement is a key resource for quantum technologies, including emerging ground-to-satellite quantum communication. In such a scenario, an important challenge to be overcome is to consider entanglement between two or more quantum…

Quantum Physics · Physics 2024-10-10 Yannick Noel Freitag , Julien Pinske , Jan Sperling

We study the scaling behavior of the entanglement entropy of two dimensional conformal quantum critical systems, i.e. systems with scale invariant wave functions. They include two-dimensional generalized quantum dimer models on bipartite…

Statistical Mechanics · Physics 2009-03-28 Benjamin Hsu , Michael Mulligan , Eduardo Fradkin , Eun-Ah Kim

The expectation values of local fields of any interacting quantum theory after a quench process are key quantities for matching theoretical and experimental results. For quantum integrable field theories, we argue that they can be obtained…

Statistical Mechanics · Physics 2013-08-22 Giuseppe Mussardo

Unlike flat space quantum field theories that focus on scattering amplitudes, the main observables in quantum cosmology are correlation functions. The systematic way of calculating correlators is called in-in formalism, which requires only…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Ali Kaya

Despite the large amount of work done in quantum field theory in curved space-times, there are not great many results available for perturbative calculations of particle processes in these systems. Such processes are expected to be…

General Relativity and Quantum Cosmology · Physics 2022-11-16 Jesse Huhtala , Nicola Lo Gullo , Iiro Vilja

We employ the equal-time formulation of quantum field theory to derive effective kinetic theories, first for a weakly coupled non-relativistic Bose gas, and then for a strongly correlated system of self-interacting N-component fields. Our…

Quantum Gases · Physics 2022-04-14 Robert Ott , Torsten V. Zache , Jürgen Berges
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