Bose-Einstein Condensation Processes with Nontrivial Geometric Multiplicities Realized via PT-Symmetric and Exactly Solvable Linear-Bose-Hubbard Building Blocks

Kód výsledku v IS VaVaI

RIV/62690094:18470/21:50021180 - isvavai.cz

Výsledek na webu

https://www.mdpi.com/2624-960X/3/3/34

DOI - Digital Object Identifier

10.3390/quantum3030034

Jazyk výsledku

angličtina

Název v původním jazyce

Bose-Einstein Condensation Processes with Nontrivial Geometric Multiplicities Realized via PT-Symmetric and Exactly Solvable Linear-Bose-Hubbard Building Blocks

Popis výsledku v původním jazyce

It is well known that, using the conventional non-Hermitian but (Formula presented.) symmetric Bose-Hubbard Hamiltonian with real spectrum, one can realize the Bose-Einstein condensation (BEC) process in an exceptional-point limit of order N. Such an exactly solvable simulation of the BEC-type phase transition is, unfortunately, incomplete because the standard version of the model only offers an extreme form of the limit, characterized by a minimal geometric multiplicity (Formula presented.). In our paper, we describe a rescaled and partitioned direct-sum modification of the linear version of the Bose-Hubbard model, which remains exactly solvable while admitting any value of (Formula presented.). It offers a complete menu of benchmark models numbered by a specific combinatorial scheme. In this manner, an exhaustive classification of the general BEC patterns with any geometric multiplicity is obtained and realized in terms of an exactly solvable generalized Bose-Hubbard model. © 2021 by the author.

Název v anglickém jazyce

Bose-Einstein Condensation Processes with Nontrivial Geometric Multiplicities Realized via PT-Symmetric and Exactly Solvable Linear-Bose-Hubbard Building Blocks

Popis výsledku anglicky

It is well known that, using the conventional non-Hermitian but (Formula presented.) symmetric Bose-Hubbard Hamiltonian with real spectrum, one can realize the Bose-Einstein condensation (BEC) process in an exceptional-point limit of order N. Such an exactly solvable simulation of the BEC-type phase transition is, unfortunately, incomplete because the standard version of the model only offers an extreme form of the limit, characterized by a minimal geometric multiplicity (Formula presented.). In our paper, we describe a rescaled and partitioned direct-sum modification of the linear version of the Bose-Hubbard model, which remains exactly solvable while admitting any value of (Formula presented.). It offers a complete menu of benchmark models numbered by a specific combinatorial scheme. In this manner, an exhaustive classification of the general BEC patterns with any geometric multiplicity is obtained and realized in terms of an exactly solvable generalized Bose-Hubbard model. © 2021 by the author.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Quantum Reports

ISSN

2624-960X

e-ISSN

2624-960X

Svazek periodika

3

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

17

Strana od-do

517-533

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85124640061