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We investigate the quantum entanglement of systems of coupled harmonic oscillators on the basis of thermo-field dynamics (TFD). For coupled harmonic oscillators at equilibrium, the extended entanglement entropy is derived using the TFD…

Statistical Mechanics · Physics 2017-04-25 Koichi Nakagawa

We apply a new method based upon thermofield dynamics (TFD) to study entanglement of finite-spin systems with non-competitive external fields for both equilibrium and non-equilibrium cases. For the equilibrium finite-spin systems, the…

Statistical Mechanics · Physics 2016-02-23 Koichi Nakagawa

We study aspects of a recently proposed exact time dependent black hole solution of IIB string theory using the AdS/CFT correspondence. The dual field theory is a thermal system in which initially a vacuum density for a non-conserved…

High Energy Physics - Theory · Physics 2010-02-03 Dongsu Bak , Michael Gutperle , Andreas Karch

We compute the time-dependent entanglement entropy of a CFT which starts in relatively simple initial states. The initial states are the thermofield double for thermal states, dual to eternal black holes, and a particular pure state, dual…

High Energy Physics - Theory · Physics 2015-06-15 Thomas Hartman , Juan Maldacena

For the purpose of clarifying a new approach to understanding quantum entanglement using thermofield dynamics (TFD), entanglement entropies of non-equilibrium finite-spin systems are examined for both traditional and extended cases. The…

Statistical Mechanics · Physics 2015-02-18 Koichi Nakagawa

We use the AdS/CFT correspondence to study a thermally isolated conformal field theory in four dimensions which undergoes a repeated deformation by an external periodic time-dependent source coupled to an operator of dimension Delta. The…

High Energy Physics - Theory · Physics 2013-12-03 Roberto Auzzi , Shmuel Elitzur , Sven Bjarke Gudnason , Eliezer Rabinovici

We show that in any relativistic system, entanglement entropy obeys a speed limit set by the entanglement in thermal equilibrium. The bound is derived from inequalities on relative entropy with respect to a thermal reference state. Thus the…

High Energy Physics - Theory · Physics 2015-12-10 Thomas Hartman , Nima Afkhami-Jeddi

Entropy is a quantity for counting physical degrees of freedom in a system. At a finite temperature, one can use thermal entropy to study thermodynamical properties. At zero temperature, entanglement entropy is expected to provide a…

High Energy Physics - Theory · Physics 2018-10-29 Chen-Te Ma

The generators of radial conformal symmetries in Minkowski space-time can be put in correspondence with generators of time evolution in conformal quantum mechanics. Within this correspondence we show that in conformal quantum mechanics the…

High Energy Physics - Theory · Physics 2024-05-07 Michele Arzano , Alessandra D'Alise , Domenico Frattulillo

In this work we study a dissipative field theory where the dissipation process is manifestly related to dynamical entanglement and put it in the holographic context. Such endeavour is realized by further development of a canonical approach…

High Energy Physics - Theory · Physics 2018-02-12 M. Botta Cantcheff , Alexandre L. Gadelha , Dáfni F. Z. Marchioro , Daniel Luiz Nedel

We consider sets of states in conformal quantum mechanics associated to generators of time evolution whose orbits cover different regions of the time domain. States labelled by a continuous global time variable define the two-point…

High Energy Physics - Theory · Physics 2023-06-22 Michele Arzano , Alessandra D'Alise , Domenico Frattulillo

A microscopic finite-temperature model based on time-dependent nuclear density functional theory (TDDFT), is employed to study the induced-fission process of $^{226}$Th. The saddle-to-scission dynamics of this process is explored, starting…

Nuclear Theory · Physics 2024-09-11 B. Li , D. Vretenar , T. Nikšić , P. W. Zhao , J. Meng

We propose a gedanken experiment on realizing thermofield double state (TFD) by using analog black holes and provide an approach to test the scrambling time. Through this approach, we demonstrate clearly how shock wave changes the TFD state…

High Energy Physics - Theory · Physics 2022-05-25 Qing-Bing Wang , Ming-Hui Yu , Xian-Hui Ge

We examine the entanglement induced by an angular momentum coupling between two harmonic systems. The Hamiltonian corresponds to that of a charged particle in a uniform magnetic field in an anisotropic quadratic potential, or equivalently,…

Quantum Physics · Physics 2015-06-03 L. Rebón , R. Rossignoli

We consider a holographic model of two 1+1-dimensional heat baths at different temperatures joined at time $t=0$, such that a steady state heat-current region forms and expands in space for times $t>0$. After commenting on the causal…

High Energy Physics - Theory · Physics 2018-01-17 Mario Flory , Johanna Erdmenger , Daniel Fernandez , Eugenio Megias , Ann-Kathrin Straub , Piotr Witkowski

We propose a new method to understand quantum entanglement using the thermo field dynamics (TFD) described by a double Hilbert space. The entanglement states show a quantum-mechanically complicated behavior. Our new method using TFD makes…

Statistical Mechanics · Physics 2013-05-22 Yoichiro Hashizume , Masuo Suzuki

The Minkowski vacuum is often presented in textbooks and reviews as a thermofield double (TFD) state, an entangled state of field modes in the left and right Rindler wedges. This picture is widely used to explain the Unruh effect, motivate…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Vaibhav Wasnik

In this work new interaction terms between two SYK models are proposed, which allow to define an interaction picture such that it is possible to calculate exactly the vacuum state's time evolution. It is shown that the vacuum evolves as a…

High Energy Physics - Theory · Physics 2021-06-02 Daniel L. Nedel

Simulations are performed of a small quantum system interacting with a quantum environment. The system consists of various initial states of two harmonic oscillators coupled to give normal modes. The environment is "designed" by its level…

Statistical Mechanics · Physics 2015-06-15 George L. Barnes , Michael E. Kellman

It is pointed out that the entanglement entropy of quantum fields near the horizon of a two-dimensional black hole can be derived by means of the conformal field theory. This can be done in a way analogous to the computation of the entropy…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri V. Fursaev
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