Bose–Hubbard model with occupation-dependent parameters

Dutta, Omjyoti; Eckardt, André; Hauke, Philipp; Malomed, Boris A.; Lewenstein, Maciej

doi:10.1088/1367-2630/13/2/023019

Cited by 60 publications

(87 citation statements)

References 53 publications

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“…Ref [9,25,26] only mentioned the similar terms without the detailed discussion of the effects of H n1 and H n2 to the ASF-TSF phase transition. …”

Section: Effects Of Density Dependent Tunnelingmentioning

confidence: 99%

Trimer superfluid induced by photoassocation on the state-dependent optical lattice

Zhang

et al. 2014

Phys. Rev. A

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We use the mean-field method, the Quantum Monte-carlo method and the Density matrix renormalization group method to study the trimer superfluid phase and the quantum phase diagram of the Bose-Hubbard model in an optical lattice, with explicit trimer tunneling term. Theoretically, we derive the explicit trimer hopping terms, such as a 3 † i a 3 j , by the Schrieffer-Wolf transformation. In practice, the trimer superfluid described by these terms is driven by photoassociation. The phase transition between the trimer superfluid phase and other phases are also studied. Without the on-site interaction, the phase transition between the trimer superfluid phase and the Mott Insulator phase is continuous. Turning on the on-site interaction, the phase transitions are first order with Mott insulators of atom filling 1 and 2. With nonzero atom tunneling, the phase transition is first order from the atom superfluid to the trimer superfluid. In the trimer superfluid phase, the winding numbers can be divided by three without any remainders. In the atom superfluid and pair superfluid, the vorticities are 1 and 1/2, respectively. However, the vorticity is 1/3 for the trimer superfluid. The power law decay exponents is 1/2 for the non diagonal correlation a †3 i a 3 j , i.e. the same as the exponent of the correlation a † i aj in hardcore bosons. The density dependent atom-tunneling term n 2 i a † i aj and pair tunneling term nia †2 i a 2 j are also studied. With these terms, the phase transition from the empty phase to atom superfluid is first order and different from the cases without the density dependent terms. The phase transition is still first order from the trimer superfluid phase to the atom superfluid. The effects of temperature are studied. Our results will be helpful in realizing the trimer superfluid by a cold atom experiment.

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“…Ref [9,25,26] only mentioned the similar terms without the detailed discussion of the effects of H n1 and H n2 to the ASF-TSF phase transition. …”

Section: Effects Of Density Dependent Tunnelingmentioning

confidence: 99%

Trimer superfluid induced by photoassocation on the state-dependent optical lattice

Zhang

et al. 2014

Phys. Rev. A

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“…We are aware of limitations of the tight-binding BH description of the system for deep optical lattices [33,34]. The BH model provides, however, a realistic and commonly used simplification of the problem.…”

Section: Bose-hubbard Modelmentioning

confidence: 99%

Numerical computation of dynamically important excited states of many-body systems

2012

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We present an extension of the time-dependent density matrix renormalization group, also known as the time evolving block decimation algorithm, allowing for the computation of dynamically important excited states of one-dimensional many-body systems. We show its practical use for analyzing the dynamical properties and excitations of the Bose-Hubbard model describing ultracold atoms loaded in an optical lattice from a Bose-Einstein condensate. This allows for a deeper understanding of nonadiabaticity in experimental realizations of insulating phases.

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“…Similarly, often only the on-site interactions terms U αβγ δ ij kl for (i,j,k,l) = (i,i,i,i) are taken into account since other integrals are significantly smaller. Recently however, it has been stressed [24,26,27,31] that contributions U αβγ δ ij kl for (i,j,k,l) = (i,i,i,j ) (up to a permutation) may not be easily dismissed. They have a character of density-dependent tunnelings, and they may compete with standard tunnelings (especially for deep lattices, strong interactions, or high density), leading to significant measurable effects.…”

Section: The Multiband Bose-hubbard Modelmentioning

confidence: 99%

Reexamination of the variational Bose-Hubbard model

2014

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For strongly interacting bosons in optical lattices, the standard description using the Bose-Hubbard model becomes questionable. The role of excited bands becomes important. In such a situation, we compare results of simulations using the multiband Bose-Hubbard model with a recent proposition based on a time-dependent variational approach. It is shown that the latter, in its original formulation, uses a too small variational space, often leading to spurious effects. Possible expansion of the variational approach is discussed.

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Bose–Hubbard model with occupation-dependent parameters

Cited by 60 publications

References 53 publications

Trimer superfluid induced by photoassocation on the state-dependent optical lattice

Trimer superfluid induced by photoassocation on the state-dependent optical lattice

Numerical computation of dynamically important excited states of many-body systems

Reexamination of the variational Bose-Hubbard model

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