Bootstrapping non-Hermitian Quantum System

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Bibliographische Detailangaben
Hauptverfasser:	Khan, Sakil, Rathod, Harsh
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	High Energy Physics - Theory Quantum Physics
Online-Zugang:	Acceder al recurso
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author	Khan, Sakil Rathod, Harsh
author_facet	Khan, Sakil Rathod, Harsh
contents	Recently, the ``Bootstrap" technique was applied in Quantum Mechanics to solve the eigenspectra of Hermitian Hamiltonians and extended to non-Hermitian PT-symmetric systems. However, its application has been limited to real spectra. In this work, we establish bootstrap conditions for the non-Hermitian system and generate eigenspectra for a generic complex polynomial potential, which includes PT-symmetric Hamiltonians as a special case. Additionally, we demonstrate the method's ability to obtain eigenspectra under various boundary conditions imposed on the eigenfunction, including the notable application of capturing the PT-symmetric phase transition.
format	Preprint
id	arxiv_https___arxiv_org_abs_2409_06784
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Bootstrapping non-Hermitian Quantum System Khan, Sakil Rathod, Harsh High Energy Physics - Theory Quantum Physics Recently, the ``Bootstrap" technique was applied in Quantum Mechanics to solve the eigenspectra of Hermitian Hamiltonians and extended to non-Hermitian PT-symmetric systems. However, its application has been limited to real spectra. In this work, we establish bootstrap conditions for the non-Hermitian system and generate eigenspectra for a generic complex polynomial potential, which includes PT-symmetric Hamiltonians as a special case. Additionally, we demonstrate the method's ability to obtain eigenspectra under various boundary conditions imposed on the eigenfunction, including the notable application of capturing the PT-symmetric phase transition.
title	Bootstrapping non-Hermitian Quantum System
topic	High Energy Physics - Theory Quantum Physics
url	https://arxiv.org/abs/2409.06784

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