Broken-Hermiticity phase transition in the Bose-Hubbard model
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F18%3A00496797" target="_blank" >RIV/61389005:_____/18:00496797 - isvavai.cz</a>
Výsledek na webu
<a href="http://dx.doi.org/10.1103/PhysRevA.98.052102" target="_blank" >http://dx.doi.org/10.1103/PhysRevA.98.052102</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.98.052102" target="_blank" >10.1103/PhysRevA.98.052102</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Broken-Hermiticity phase transition in the Bose-Hubbard model
Popis výsledku v původním jazyce
For the two-mode and (N - 1 )-bosonic Bose-Hubbard quantum system a less usual phase transition controlled by the parameters representing the on-site energy difference is studied. In the literature the parameter is considered either real (epsilon > 0) or purely imaginary (with, say, gamma = Im epsilon > 0), so the phase transition is analyzed here at the interface epsilon = gamma = 0. The evolution in the gamma-controlled phase is required unitary so that the main task for the theory is found in the (quasi-)Hermitization of the Hamiltonian, achieved by a suitable amendment of the inner product in Hilbert space, <.vertical bar.> -> <.vertical bar Theta vertical bar.>. In the most relevant domain of small gamma the linearized Hilbert-space metric Theta(gamma) [constrained by the requirement lim(gamma -> 0) Theta(gamma) = I of the smoothness of the change of the Hilbert space at the phase transition] is constructed in closed form. Beyond the phase-transition instant, several forms of the systematic non-numerical recurrent construction of the exact metrics Theta(gamma) are also shown user friendly and feasible, at the not too large matric dimensions N at least.
Název v anglickém jazyce
Broken-Hermiticity phase transition in the Bose-Hubbard model
Popis výsledku anglicky
For the two-mode and (N - 1 )-bosonic Bose-Hubbard quantum system a less usual phase transition controlled by the parameters representing the on-site energy difference is studied. In the literature the parameter is considered either real (epsilon > 0) or purely imaginary (with, say, gamma = Im epsilon > 0), so the phase transition is analyzed here at the interface epsilon = gamma = 0. The evolution in the gamma-controlled phase is required unitary so that the main task for the theory is found in the (quasi-)Hermitization of the Hamiltonian, achieved by a suitable amendment of the inner product in Hilbert space, <.vertical bar.> -> <.vertical bar Theta vertical bar.>. In the most relevant domain of small gamma the linearized Hilbert-space metric Theta(gamma) [constrained by the requirement lim(gamma -> 0) Theta(gamma) = I of the smoothness of the change of the Hilbert space at the phase transition] is constructed in closed form. Beyond the phase-transition instant, several forms of the systematic non-numerical recurrent construction of the exact metrics Theta(gamma) are also shown user friendly and feasible, at the not too large matric dimensions N at least.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
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)
Návaznosti výsledku
Projekt
<a href="/cs/project/GA16-22945S" target="_blank" >GA16-22945S: Kvantová Wheelerova – DeWittova rovnice a její unitárně evoluční interpretace</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Ostatní
Rok uplatnění
2018
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Physical Review A
ISSN
2469-9926
e-ISSN
—
Svazek periodika
98
Číslo periodika v rámci svazku
5
Stát vydavatele periodika
US - Spojené státy americké
Počet stran výsledku
12
Strana od-do
—
Kód UT WoS článku
000449292200001
EID výsledku v databázi Scopus
2-s2.0-85056340389