Broken-Hermiticity phase transition in the Bose-Hubbard model

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Broken-Hermiticity phase transition in the Bose-Hubbard model
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project
<a href="/en/project/GA16-22945S" target="_blank" >GA16-22945S: Quantum Wheeler-DeWitt equation and its unitary evolution interpretation</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)