Gaussian quantum fluctuations in the superfluid-Mott-insulator phase transition
Autor: | Luca Salasnich, M. Faccioli |
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Jazyk: | angličtina |
Rok vydání: | 2019 |
Předmět: |
Quantum phase transition
Physics Condensed Matter::Quantum Gases Phase transition Equation of state model localization Mott insulator 01 natural sciences Atomic and Molecular Physics and Optics 010305 fluids & plasmas Superfluidity Quantum mechanics Atomic and Molecular Physics 0103 physical sciences and Optics 010306 general physics Absolute zero Quantum fluctuation Boson |
Zdroj: | Physical review, A Print 99 (2019): 023614–023614. doi:10.1103/PhysRevA.99.023614 info:cnr-pdr/source/autori:Faccioli, M.; Salasnich, L./titolo:Gaussian quantum fluctuations in the superfluid-Mott-insulator phase transition/doi:10.1103%2FPhysRevA.99.023614/rivista:Physical review, A Print/anno:2019/pagina_da:023614/pagina_a:023614/intervallo_pagine:023614–023614/volume:99 |
DOI: | 10.1103/PhysRevA.99.023614 |
Popis: | Recent advances in cooling techniques make possible the experimental study of quantum phase transitions, which are transitions near absolute zero temperature accessed by varying a control parameter. A paradigmatic example is the superfluid-Mott transition of interacting bosons on a periodic lattice. From the relativistic Ginzburg-Landau action of this superfluid-Mott transition we derive the elementary excitations of the bosonic system, which contain in the superfluid phase a gapped Higgs mode and a gapless Goldstone mode. We show that this energy spectrum is in good agreement with the available experimental data and we use it to extract, with the help of dimensional regularization, meaningful analytical formulas for the beyond-mean-field equation of state in two and three spatial dimensions. We find that, while the mean-field equation of state always gives a second-order quantum phase transition, the inclusion of Gaussian quantum fluctuations can induce a first-order quantum phase transition. This prediction is a strong benchmark for future experiments on quantum phase transitions. |
Databáze: | OpenAIRE |
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