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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

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

Utilizing the Tomita-Takesaki modular theory, we derive a closed-form analytic expression for the Araki-Uhlmann relative entropy between a single-mode squeezed state and the vacuum state in a free relativistic massive scalar Quantum Field…

High Energy Physics - Theory · Physics 2025-07-01 Marcelo S. Guimaraes , Itzhak Roditi , Silvio P. Sorella , Arthur F. Vieira

Group field theories are higher-rank generalizations of matrix/tensor models, and encode the simplicial geometries of quantum gravity. In this paper, we study the thermofield double states in group field theories. The starting point is the…

High Energy Physics - Theory · Physics 2021-01-28 Xiao-Kan Guo

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

This paper defines a complexity between states in quantum field theory by introducing a Finsler structure based on ladder operators (the generalization of creation and annihilation operators). Two simple models are shown as examples to…

High Energy Physics - Theory · Physics 2018-03-09 Run-Qiu Yang

We show that any 2D scalar field theory compactified on a cylinder and with a Fourier expandable potential $V$ is equivalent, in the small coupling limit, to a 1D theory involving a massless particle in a potential $V$ and an infinite tower…

High Energy Physics - Theory · Physics 2022-12-20 Andrei Ioan Dogaru , Ruben Campos Delgado

Realistic dynamical theories of measurement based on the diffusion of quantum states are nonunitary, whereas quantum field theory and its generalizations are unitary. This problem in the quantum field theory of quantum state diffusion (QSD)…

Quantum Physics · Physics 2009-10-31 Ian C. Percival

Relative entropy serves as a fundamental measure of state distinguishability in both quantum information theory and relativistic quantum field theory. Despite its conceptual importance, however, explicit computations of relative entropy…

Quantum Physics · Physics 2025-12-01 Daniela Cadamuro , Markus B. Fröb , Dimitrios Katsinis , Jan Mandrysch

The dissipative and decoherence properties as well as the asymptotic behavior of the single mode electromagnetic field interacting with the time-dependent squeezed vacuum field reservoir are investigated in detail by using the algebraic…

Quantum Physics · Physics 2009-11-11 Jun-Hong An , Shun-Jin Wang , Hong-Gang Luo , Cheng-Long Jia

The study of nonclassical properties of two-mode quantum states is particularly useful in quantum information theory because of the possibilities of obtaining entanglement and other two-mode quantum correlations in these states. Here we…

Quantum Physics · Physics 2024-06-17 Kathakali Mandal , Anjali Jatwani , Amit Verma

We propose a multi-boundary generalization of thermofield double states (TFD) of a two-dimensional conformal field theory (CFT) and show, through a conformal map to the complex plane, that they are closely related to multi-point correlation…

Strongly Correlated Electrons · Physics 2022-04-06 Yijian Zou , Guifre Vidal

We apply the formalism of thermofield dynamics to group field theory quantum gravity and construct thermal representations associated with generalised equilibrium Gibbs states using Bogoliubov transformations. The newly constructed class of…

General Relativity and Quantum Cosmology · Physics 2020-03-03 Mehdi Assanioussi , Isha Kotecha

We study the entanglement dynamics of thermofield double (TFD) states in integrable spin chains and quantum field theories. We show that, for a natural choice of the Hamiltonian eigenbasis, the TFD evolution may be interpreted as a quantum…

High Energy Physics - Theory · Physics 2022-05-12 Gianluca Lagnese , Pasquale Calabrese , Lorenzo Piroli

We present a unified description of symmetric two-state Markov relaxation and intrinsic entanglement dynamics based on thermo-field dynamics (TFD). A classical two-state Markov process is embedded into a dissipative two-level quantum system…

Statistical Mechanics · Physics 2026-01-21 Koichi Nakagawa

A standard insight of the AdS/CFT correspondence is that some aspects of the geometry of a bulk state are encoded in the entanglement structure of its dual boundary state. As entanglement is not a linear quantum observable, this means that…

High Energy Physics - Theory · Physics 2022-06-14 John G. Gardiner

Entangled states play a crucial role in quantum information protocols, thus the dynamical behavior of entanglement is of a great importance. In this paper we consider a two-mode squeezed vacuum state coupled to one thermal reservoir as a…

Quantum Physics · Physics 2007-05-23 Jakub S. Prauzner-Bechcicki

We revisit the calculation of vacuum entanglement entropy in free Maxwell theory in four-dimensional Minkowski spacetime. Weyl invariance allows for this theory to be embedded as a patch inside the Einstein static universe. We use conformal…

High Energy Physics - Theory · Physics 2024-03-22 Hong Zhe Chen , Robert Myers , Ana-Maria Raclariu

We theoretically propose and experimentally demonstrate a nonclassicality test of single-mode field in phase space, which has an analogy with the nonlocality test proposed by Banaszek and Wodkiewicz [Phys. Rev. Lett. 82, 2009 (1999)]. Our…

Quantum Physics · Physics 2015-06-11 Jiyong Park , Junhua Zhang , Jaehak Lee , Se-Wan Ji , Mark Um , Dingshun Lv , Kihwan Kim , Hyunchul Nha

Thermofield dynamics (TFD) is a powerful framework to account for thermal effects in a wavefunction setting, and has been extensively used in physics and quantum optics. TFD relies on a duplicated state space and creates a correlated…

Quantum Physics · Physics 2026-02-20 Bartosz Błasiak , Dominik Brey , Rocco Martinazzo , Irene Burghardt
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