A study of quantum Berezinskii–Kosterlitz–Thouless transition for parity-time symmetric quantum criticality

Abstract The Berezinskii–Kosterlitz–Thouless (BKT) mechanism governs the critical behavior of a wide range of many-body systems. We show here that this phenomenon is not restricted to conventional many body system but also for the strongly correlated parity-time (PT) symmetry quantum criticality. We...

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Autor principal:	Sujit Sarkar
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/bf45f348a0554718a17ba1522a597084
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spelling	oai:doaj.org-article:bf45f348a0554718a17ba1522a5970842021-12-02T13:20:21ZA study of quantum Berezinskii–Kosterlitz–Thouless transition for parity-time symmetric quantum criticality10.1038/s41598-021-84485-22045-2322https://doaj.org/article/bf45f348a0554718a17ba1522a5970842021-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-84485-2https://doaj.org/toc/2045-2322Abstract The Berezinskii–Kosterlitz–Thouless (BKT) mechanism governs the critical behavior of a wide range of many-body systems. We show here that this phenomenon is not restricted to conventional many body system but also for the strongly correlated parity-time (PT) symmetry quantum criticality. We show explicitly behaviour of topological excitation for the real and imaginary part of the potential are different through the analysis of second order and third order renormalization group (RG). One of the most interesting feature that we observe from our study the presence of hidden QBKT and also conventional QBKT for the real part of the potential whereas there is no such evidence for the imaginary part of the potential. We also present the exact solution for the RG flow lines. We show explicitly how the physics of single field double frequencies sine-Gordon Hamiltonian effectively transform to the dual field double frequencies sine-Gordon Hamiltonian for a certain regime of parameter space. This is the first example in any quantum many body systems. We present the results of second order and third order RG flow results explicitly for the real and imaginary part of the potential. This PT symmetric system can be experimentally tested in ultra-cold atoms. This work provides a new perspective for the PT symmetric quantum criticality.Sujit SarkarNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-12 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Sujit Sarkar A study of quantum Berezinskii–Kosterlitz–Thouless transition for parity-time symmetric quantum criticality
description	Abstract The Berezinskii–Kosterlitz–Thouless (BKT) mechanism governs the critical behavior of a wide range of many-body systems. We show here that this phenomenon is not restricted to conventional many body system but also for the strongly correlated parity-time (PT) symmetry quantum criticality. We show explicitly behaviour of topological excitation for the real and imaginary part of the potential are different through the analysis of second order and third order renormalization group (RG). One of the most interesting feature that we observe from our study the presence of hidden QBKT and also conventional QBKT for the real part of the potential whereas there is no such evidence for the imaginary part of the potential. We also present the exact solution for the RG flow lines. We show explicitly how the physics of single field double frequencies sine-Gordon Hamiltonian effectively transform to the dual field double frequencies sine-Gordon Hamiltonian for a certain regime of parameter space. This is the first example in any quantum many body systems. We present the results of second order and third order RG flow results explicitly for the real and imaginary part of the potential. This PT symmetric system can be experimentally tested in ultra-cold atoms. This work provides a new perspective for the PT symmetric quantum criticality.
format	article
author	Sujit Sarkar
author_facet	Sujit Sarkar
author_sort	Sujit Sarkar
title	A study of quantum Berezinskii–Kosterlitz–Thouless transition for parity-time symmetric quantum criticality
title_short	A study of quantum Berezinskii–Kosterlitz–Thouless transition for parity-time symmetric quantum criticality
title_full	A study of quantum Berezinskii–Kosterlitz–Thouless transition for parity-time symmetric quantum criticality
title_fullStr	A study of quantum Berezinskii–Kosterlitz–Thouless transition for parity-time symmetric quantum criticality
title_full_unstemmed	A study of quantum Berezinskii–Kosterlitz–Thouless transition for parity-time symmetric quantum criticality
title_sort	study of quantum berezinskii–kosterlitz–thouless transition for parity-time symmetric quantum criticality
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/bf45f348a0554718a17ba1522a597084
work_keys_str_mv	AT sujitsarkar astudyofquantumberezinskiikosterlitzthoulesstransitionforparitytimesymmetricquantumcriticality AT sujitsarkar studyofquantumberezinskiikosterlitzthoulesstransitionforparitytimesymmetricquantumcriticality
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A study of quantum Berezinskii–Kosterlitz–Thouless transition for parity-time symmetric quantum criticality

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