Ground-state and finite-temperature properties of correlated ultracold bosons on optical lattices

Sajna, A. S.; Polak, T. P.; Micnas, R.; Rożek, P.

doi:10.1103/physreva.92.013602

Cited by 26 publications

(28 citation statements)

References 58 publications

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“…VMC calculations of the static structure factor for systems with linear sizes up to L = 12 gave (J/U ) c ≈ 0.0278 [316]. Recently developed self-consistent standard basis operator approach, which goes significantly beyond the mean-field theory, yields (J/U ) c ≈ 0.03356 for n l = 1 and (J/U ) c ≈ 0.0185 for n l = 2 [333]. Theoretical predictions for the critical value (J/U ) c in three dimensions were tested in experiments with Cs atoms analyzing the quasi-momentum distributions in the time-of-flight images [334].…”

Section: Transition At Commensurate Fillingsmentioning

confidence: 99%

Ultracold bosons with short-range interaction in regular optical lattices

2016

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During the last decade, many exciting phenomena have been experimentally observed and theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid developments concentrating mainly on the theory. Different types of the bosonic systems in homogeneous lattices of different dimensions as well as in the presence of harmonic traps are considered. An overview of the theoretical methods used for these investigations as well as of the obtained results is given. Available experimental techniques are presented and discussed in connection with theoretical considerations. Eigenstates of the interacting bosons in homogeneous lattices and in the presence of harmonic confinement are analyzed. Their knowledge is essential for understanding of quantum phase transitions at zero and finite temperature.

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Section: Transition At Commensurate Fillingsmentioning

confidence: 99%

Ultracold bosons with short-range interaction in regular optical lattices

2016

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“…Whereas RPA calculation demands solving equation of motion for the Green's function in terms of Standard Basis Operators [6] build over single site MFT states. Our RPA results for HC-BHM are complete, in contrast to work done by A.S Sajna et.al [7] for BHM, as we are able to investigate properties in deep SF phase.…”

Section: Introductionmentioning

confidence: 52%

“…We start with writing creation (annihilation) operators in model 2 It should be noted that both excitation energy and spectral weight are dependent on occupational probabilities P α [7] which can be solved self consistently using the relation ∑ , where / 1 is the Bose distribution function. We have taken Boltzmann constant 1.…”

Section: Random Phase Approximationmentioning

confidence: 99%

Random phase approximation and cluster mean field studies of hard core Bose Hubbard model

Alavani¹,

Gaude²,

Pai³

2018

AIP Conference Proceedings

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“…Instead, some studies have developed novel analytic methods [34][35][36][37]. On the other hand, for BECs in shallow optical lattices, theoretical analysis of phase decoherence in 1D has been extensively performed via an extended Gross-Pitaevskii equation (GPE) approach [38], or via the Truncated Wigner Approximation (TWA) approach [31].…”

Section: Introductionmentioning

confidence: 99%

Phase coherence and fragmentation of two-component Bose-Einstein condensates loaded in state-dependent optical lattices

Shim

Bergeman

2016

Phys. Rev. A

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A binary mixture of interacting Bose-Einstein Condensates (BEC) in the presence of fragmentation-driving external lattice potentials forms two interdependent mean-field lattices made of each component. These effective mean-field lattices, like ordinary optical lattices, can induce additional fragmentation and phase coherence loss of BECs between lattice sites. In this study, we consider the nonequilibrium dynamics of two hyperfine states of 1D Bose-Einstein condensates, subjected to state-dependent optical lattices. Our numerical calculations using the truncated Wigner approximation (TWA) show that phase coherence in a mixture of two-component BECs can be lost not just by optical lattices, but by mean-field lattices gradually formed by other components, and we reveal that such an effect of internal mean-field lattices, however, is limited, contrary to external optical lattices, in regard to phase decoherence.

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Ground-state and finite-temperature properties of correlated ultracold bosons on optical lattices

Cited by 26 publications

References 58 publications

Ultracold bosons with short-range interaction in regular optical lattices

Ultracold bosons with short-range interaction in regular optical lattices

Random phase approximation and cluster mean field studies of hard core Bose Hubbard model

Phase coherence and fragmentation of two-component Bose-Einstein condensates loaded in state-dependent optical lattices

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