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In this paper we study one-dimensional conformal field theory at finite temperature dual to the two-dimensional anti-de Sitter spacetime in the Rindler coordinates. We show that conformal symmetry for thermal two-point functions manifests…

High Energy Physics - Theory · Physics 2016-11-04 Satoshi Ohya

Spatial coherence of thermal fields in far- and near-field zones generated by heated half-space into vacuum is studied at essentially different thermodynamical conditions. It is shown that correlation lengths of fields in any field zone are…

Classical Physics · Physics 2014-12-16 Illarion Dorofeyev

The status of the inequality existing between mutual information and (normalized) thermal two-point connected correlation function, namely,…

High Energy Physics - Theory · Physics 2025-10-17 Ashis Saha , Anirban Roy Chowdhury , Sunandan Gangopadhyay

The thermal entanglement of two spin-1 atoms with nonlinear couplings in optical lattices is investigated in this paper. It is found that the nonlinear couplings favor the thermal entanglement creating. The dependence of the thermal…

Quantum Physics · Physics 2007-05-23 L. Zhou , X. X. Yi , H. S. Song , Y. Q. Quo

The results of space-like separated measurements are independent of distant measurement settings, a property one might call two-way no-signalling. In contrast, time-like separated measurements are only one-way no-signalling since the past…

Quantum Physics · Physics 2016-10-13 Stephen Brierley , Adrian Kosowski , Marcin Markiewicz , Tomasz Paterek , Anna Przysiezna

We study the change of entanglement under general linear transformation of modes in a bosonic system and determine the conditions under which entanglement can be generated under such transformation. As an example we consider the thermal…

Quantum Physics · Physics 2007-05-23 M. Asoudeh

We present asymptotically exact results for the real time order parameter correlations of a class of d=1 Ising models in a transverse field at low temperatures (T) on both sides of the quantum critical point. The correlations are a product…

Condensed Matter · Physics 2016-08-31 Subir Sachdev , A. P. Young

The presence of symmetries in a closed many-body quantum system results in integrability. For such integrable systems, complete thermalization does not occur. As a result, the system remains non-ergodic. On the other hand, a set of…

Quantum Physics · Physics 2021-04-20 Saptarshi Saha , Rangeet Bhattacharyya

We use the out-of-time-order (OTO) correlators to study the slow dynamics in the many-body localized (MBL) phase. We investigate OTO correlators in the effective ("l-bit") model of the MBL phase, and show that their amplitudes after…

Strongly Correlated Electrons · Physics 2017-08-15 Xiao Chen , Tianci Zhou , David A. Huse , Eduardo Fradkin

We revisit thermal out-of-time-order correlators (OTOCs) in single-particle quantum systems, focusing on magnetic billiards. Using the stadium billiard as a testbed, we compute the thermal OTOC $C_T(t) = -\langle [x(t), p]^2 \rangle_\beta$…

High Energy Physics - Theory · Physics 2026-02-06 Cameron Beetar , Jeff Murugan

Using the determinant representation for the field-field correlation functions of impenetrable anyons at finite temperature obtained in a previous paper, we derive a system of nonlinear partial differential equations completely…

Statistical Mechanics · Physics 2015-05-13 Ovidiu I. Patu , Vladimir E. Korepin , Dmitri V. Averin

We analytically study the Out-of-Time-Order Correlation functions (OTOC) for two spatially separated primary operators in two-dimensional unitary minimal models. Besides giving general arguments using the conformal symmetry, we also use the…

High Energy Physics - Theory · Physics 2018-09-20 Ruihua Fan

Coherent quantum oscillators are basic physical systems both in quantum statistical physics and quantum thermodynamics. Their realizations in lab often involve solid-state devices sensitive to changes in ambient temperature. We represent…

Quantum Physics · Physics 2019-08-13 Michal Kolář , Artem Ryabov , Radim Filip

We propose a relationship between thermodynamic phase transitions and ground-state quantum phase transitions in systems with variable Hamiltonian parameters. It is based on a link between zeros of the canonical partition function at complex…

Nuclear Theory · Physics 2009-11-10 Pavel Cejnar , Stefan Heinze , Jan Dobes

Strongly correlated systems far from equilibrium can exhibit scaling solutions with a dynamically generated weak coupling. We show this by investigating isolated systems described by relativistic quantum field theories for initial…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Berges , A. Rothkopf , J. Schmidt

In quantum lattice systems, we prove that any stationary state with power-law (or even exponential) decay of spatial correlations has vanishing macroscopic temporal order in the thermodynamic limit. Assuming translational invariance, we…

Statistical Mechanics · Physics 2019-12-12 Yichen Huang

We show that the Connes-Rovelli thermal time associated with the quantum harmonic oscillator can be described as an (unsharp) observable, that is, as a positive operator valued measure. We furthermore present extensions of this result to…

Mathematical Physics · Physics 2024-03-18 Jan van Neerven , Pierre Portal

It is a well known fact that quantum fields on Minkowski spacetime are correlated for each pair of spacetime regions. In Robertson-Walker spacetimes there are spacelike separated regions with disjoint past horizons but the absence of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Mathias Trucks

We study the influence of thermal fluctuations on the two-time correlation functions of bosonic baths within a superstatistics framework by assuming that fluctuations follow the gamma distribution. We further establish a connection between…

Onsager's regression hypothesis connects the temporal relaxation of close-to-equilibrium systems with their dynamical correlation functions at thermal equilibrium. While the hypothesis is provably correct in classical systems, it is known…

Statistical Mechanics · Physics 2024-07-17 Peter Reimann , Christian Eidecker-Dunkel