Feshbach Resonance in Optical Lattices and the Quantum Ising Model

Bhaseen, M. J.; Silver, A. O.; Hohenadler, Martin; Simons, Benjamin D.

doi:10.1103/physrevlett.103.265302

Cited by 16 publications

(52 citation statements)

References 38 publications

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“…In the case of two-component bosons corresponding to different atomic species near the Feshbach resonance which supports the creation of heteronuclear molecules, the zero-temperature phase diagram has a reacher structure [454,455]. It contains MI regions surrounded by the regions of single-component atomic and molecular superfluids (in contrast to the homonuclear case discussed above) as well as the regions with all three superfluids.…”

Section: Zero-temperature Phase Diagrammentioning

confidence: 87%

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: Zero-temperature Phase Diagrammentioning

confidence: 87%

Ultracold bosons with short-range interaction in regular optical lattices

2016

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“…Motivated by these developments, we recently investigated the phase diagram of two-component bosons pairing in an optical lattice [15]. Among our findings, we identified a paradigmatic Ising quantum phase transition occurring within the second Mott lobe.…”

Section: Introductionmentioning

confidence: 87%

“…The phase diagram has a rich structure and exhibits distinct Mott insulators, single-component atomic and molecular condensates, and a phase with all three species superfluid. However, two-component superfluids are absent due to the structure of the Feshbach term [15,16]. The main panel shown in Fig.…”

Section: Phase Diagrammentioning

confidence: 99%

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Quantum phase transitions in bosonic heteronuclear pairing Hamiltonians

et al. 2010

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We explore the phase diagram of two-component bosons with Feshbach resonant pairing interactions in an optical lattice. It has been shown in previous work to exhibit a rich variety of phases and phase transitions, including a paradigmatic Ising quantum phase transition within the second Mott lobe. We discuss the evolution of the phase diagram with system parameters and relate this to the predictions of Landau theory. We extend our exact diagonalization studies of the one-dimensional bosonic Hamiltonian and confirm additional Ising critical exponents for the longitudinal and transverse magnetic susceptibilities within the second Mott lobe. The numerical results for the ground-state energy and transverse magnetization are in good agreement with exact solutions of the Ising model in the thermodynamic limit. We also provide details of the low-energy spectrum, as well as density fluctuations and superfluid fractions in the grand canonical ensemble.

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“…For instance, it is predicted that atom-molecule internal tunneling can induce a droplet-like ground state in atom-molecule BEC mixtures [6]. The relation between the Ising model and the phase transition of bosonic atom-molecule mixtures is also discussed [26][27][28]. As for atom-molecule mixtures in optical lattices, the possibility of a so-called super-Mott phase has been pointed out [29,30].…”

Section: Introductionmentioning

confidence: 99%

Particle-localized ground state of atom-molecule Bose-Einstein condensates in a double-well potential

Motohashi

Nikuni

2010

Phys. Rev. A

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We study the effect of atom-molecule internal tunneling on the ground state of atom-molecule Bose-Einstein condensates in a double-well potential. In the absence of internal tunneling between atomic and molecular states, the ground state is symmetric, which has equal-particle populations in two wells. From the linear stability analysis, we show that the symmetric stationary state becomes dynamically unstable at a certain value of the atom-molecule internal tunneling strength. Above the critical value of the internal tunneling strength, the ground state bifurcates to the particle-localized ground states. The origin of this transition can be attributed to the effective attractive interatomic interaction induced by the atom-molecule internal tunneling. This effective interaction is similar to that familiar in the context of BCS-BEC crossover in a Fermi gas with Feshbach resonance. Furthermore, we point out the possibility of reentrant transition in the case of the large detuning between the atomic and molecular states.

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Feshbach Resonance in Optical Lattices and the Quantum Ising Model

Cited by 16 publications

References 38 publications

Ultracold bosons with short-range interaction in regular optical lattices

Ultracold bosons with short-range interaction in regular optical lattices

Quantum phase transitions in bosonic heteronuclear pairing Hamiltonians

Particle-localized ground state of atom-molecule Bose-Einstein condensates in a double-well potential

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