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Scalar field in massive BTZ black hole and entanglement entropy

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Chinese Physics C 2020年第1期44卷 129-135页

作者： Yu-Ting Zhou Xiao-Mei Kuang College of Mathematics and Science Yangzhou UniversityYangzhou 225009China Center for Gravitation and Cosmology College of Physical Science and TechnologyYangzhou UniversityYangzhou 225009China

In this paper,we investigate the quantum scalar fields in a massive BTZ black hole *** study the entropy of the system by evaluating the entanglement entropy using a discretized ***,we fit the results with a log-modified formula of the black hole entropy,which is introduced by quantum *** coefficients of leading and sub-leading terms affected by the mass of graviton are numerically analyzed.

关键词： massive BTZ black hole entanglement entropy scalar field

Calculation of entanglement entropy for Continuous-Variable Entangled State Based on General Two-Mode Boson Exponential Quadratic Operator in Fock Space

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Communications in Theoretical Physics 2008年第3期49卷 590-594页

作者： DAI Fang-Wen MA Lei Department of Physics East China Normal University Shanghai 200062 China

We obtain an explicit formula to calculate the entanglement entropy of bipartite entangled state of general two-mode boson exponential quadratic operator with continuous variables in Fock space. The simplicity and gen... 详细信息

关键词： entanglement entropy continuous-variable entangled states linear quantum transformation

The Scaling of entanglement entropy for One Spatial XXZ Spin Chain

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Journal of Applied Mathematics and Physics 2016年第1期4卷 48-52页

作者： Honglei Wang Chunhuan Xiang College of Medical Informatics Chongqing Medical University Chongqing China School of Public Health and Management Chongqing Medical University Chongqing China

We investigate the scaling of entanglement entropy for one spatial XXZ spin chain by using matrix product states to approximate ground states. The entanglement entropy scales logarithmically with a coefficient that is determined by the associated conformal field theory, the quantum phase transitions occurred between Large-D and Halde phase, Halde phase and Neel phase. The scaling relationship is given in this paper.

关键词： entanglement entropy Quantum Phase Transitions Scaling Numerical Simulation

Symmetry and size effects on energy and entanglement of an exciton in coupled quantum dots

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Chinese Physics B 2013年第4期22卷 389-393页

作者：沈曼白彦魁安兴涛刘建军 College of Physics Science & Information Engineering and Hebei Advanced Thin Film Laboratory Hebei Normal University School of Sciences Hebei University of Science and Technology Physics Department Shijiazhuang University

We study theoretically the essential properties of an exciton in vertically coupled Gaussian quantum dots in the presence of an external magnetic field. The ground state energy of a heavy-hole exciton is split into four energy levels due to the Zeeman effect. For the symmetrical system, the entanglement entropy of the exciton state can reach a value of 1. However, for a system with broken symmetry, it is close to zero. Our results are in good agreement with previous studies.

关键词： exciton coupled Gaussian quantum dot symmetry entanglement entropy

Note on non-vacuum conformal family contributions to Rényi entropy in two-dimensional CFT

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Chinese Physics C 2017年第6期41卷 46-55页

作者：张甲举 Dipartimento di Fisica Universita degli Studi di Milano-Bicocca Piazza della Scienza 3 1-20126 Milano Italy

We calculate the contributions of a general non-vacuum conformal family to R′enyi entropy in twodimensional conformal field theory（CFT）. The primary operator of the conformal family can be either non-chiral or chiral, and we denote its scaling dimension by ？. For the case of two short intervals on a complex plane, we expand the R′enyi mutual information by the cross ratio x to order x^（2△＋2）. For the case of one interval on a torus with low temperature, we expand the R′enyi entropy by q = exp（-2πβ/L）, with β being the inverse temperature and L being the spatial period, to order q^（△＋2）. To make the result meaningful, we require that the scaling dimension ？ cannot be too small. For two intervals on a complex plane we need △ 〉 1, and for one interval on a torus we need △ 〉 *** work in the small Newton constant limit on the gravity side and so a large central charge limit on the CFT side,and find matches of gravity and CFT results.

关键词： Renyi entropy entanglement entropy conformal field theory

Quantum entanglement in the Sachdev–Ye–Kitaev model and its generalizations

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Frontiers of physics 2022年第4期17卷 31-53页

作者： Pengfei Zhang Institute for Quantum Information and Matter and Walter Burke Institute for Theoretical Physics California Institute of TechnologyPasadenaCA 91125USA

entanglement is one of the most important concepts in quantum *** review recent progress in understanding the quantum entanglement in many-body systems using large-N solvable models:the Sachdev–Ye–Kitaev(SYK)model and its *** present the study of entanglement entropy in the original SYK model using three different approaches:the exact diagonalization,the eigenstate thermalization hypothesis,and the pathintegral *** coupled SYK models,the entanglement entropy shows linear growth and saturation at the thermal *** saturation is related to replica wormholes in ***,we consider the steady-state entanglement entropy of quantum many-body systems under repeated *** traditional symmetry breaking in the enlarged replica space leads to the measurement-induced entanglement phase transition.

关键词： SYK model entanglement entropy large-N expansion

Hawking radiation and page curves of the black holes in thermal environment

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Communications in Theoretical Physics 2021年第7期73卷 106-114页

作者： Ran Li Jin Wang School of Physics Henan Normal UniversityXinxiang 453007China Department of Chemistry SUNYStony BrookNY 11794United States of America Department of Chemistry and of Physics and Astronomy State University of New York at Stony BrookStony BrookNY 11794-3400United States of America

As realistic objects in the Universe,the black holes are surrounded by complex *** taking the effect of thermal environment into account,we investigate the evaporation process and the time evolutions(page curves)of the entanglement entropies of Hawking radiation of various types of black *** is found that the black holes with the thermal environments evaporate slower than those without the environments due to the environmental contribution of the energy flux in addition to Hawking *** Schwarzschild black hole and Reissner-Nordstr?m black hole in flat spaces,when the initial temperature of the black hole is higher than the environment temperature,the black holes evaporate completely and the Hawking radiation is eventually *** Schwarzschild-Ad S black hole,it will evaporate completely and the Hawking radiation is purified when the environment temperature is lower than the critical ***,it will reach an equilibrium state with the environment and the radiation is maximally entangled with the black *** results indicate that the final state of the black hole is determined by the environmental temperature and the temporal evolution and the speed of the information purification process characterized by the page curve of the Hawking radiation is also influenced by the thermal environment significantly.

关键词： Hawking radiation page curve black hole thermal environment entanglement entropy

Quantum phase transitions in matrix product states of one-dimensional spin-1 chains

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Chinese Physics C 2014年第12期38卷 9-14页

作者：祝敬敏 College of Optoelectronic Technology Chengdu University of Information Technology

We present a new model of quantum phase transitions in matrix product systems of one-dimensional spin-1 chains and study the phases coexistence phenomenon. We find that in the thermodynamic limit the proposed system has three different quantum phases and by adjusting the control parameters we are able to realize any phase, any two phases equal coexistence and the three phases equM coexistence. At every critical point the physical quantities including the entanglement are not discontinuous and the matrix product system has long-range correlation and N-spin maximal entanglement. We believe that our work is helpful for having a comprehensive understanding of quantum phase transitions in matrix product states of one-dimensional spin chains and of certain directive significance to the preparation and control of one-dimensional spin lattice models with stable coherence and N-spin maximal entanglement.

关键词： matrix product state quantum phase transition long-range correlation entanglement entropy

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Statistical entropy of an Acoustic Black Hole in Bose–Einstein Condensates

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Communications in Theoretical Physics 2013年第12期60卷 695-698页

作者：马孟森赵惠华赵仁 Institute of Theoretical Physics Shanxi Datong University Department of Physics Shanxi Datong University

The entanglement entropy of an acoustic black hole in a Bose-Einstein condensates （BEC） is derived, which is associated with the phonons generated via the Hawking mechanism in a sonic hole. Considering the dispersion relation of a BEC, we recalculate the entanglement entropy of the acoustic black hole by means of statistical method in two limits. We find that the entropy is still proportional to the area of event horizon, but with a coefficient dependent on the infrared cutoff.

关键词： acoustic black holes entanglement entropy Bose-Einstein condensates