Feshbach-Einstein Condensates

Rousseau, V. G.; Denteneer, P. J. H.

doi:10.1103/physrevlett.102.015301

Cited by 26 publications

(67 citation statements)

References 18 publications

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“…This is an indication of the molecular superfluidity which signals the absence of a single-component atomic superfluidity close to the MI boundary in contrast to Ref. [451] which was claiming the opposite based on QMC calculations. The latter was attributed to finite-size effects [449].…”

Section: Zero-temperature Phase Diagramcontrasting

confidence: 61%

“…60 was also obtained in Ref. [451] by means of QMC simulations. However, the MI phase was named "super Mott" (see also [452]) based on the observation that the superfluid stiffnesses of the atomic and molecular components calculated from the fluctuations of the corresponding winding numbers do not vanish, although the superfluid stiffness of the whole system does.…”

Section: Zero-temperature Phase Diagrammentioning

confidence: 52%

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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 Diagramcontrasting

confidence: 61%

Section: Zero-temperature Phase Diagrammentioning

confidence: 52%

Ultracold bosons with short-range interaction in regular optical lattices

2016

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“…[50][51][52]. As reported elsewhere the pairing Hamiltonian (1) has a rich phase diagram exhibiting both MI and SF phases [32][33][34][35][36][37][38][39][40]42]. Most notably, the system displays a discrete Z 2 symmetry-breaking transition [34][35][36] between a paired molecular condensate (MC) and an atomic plus molecular condensate (AC + MC) phase [42]; for closely related transitions in other models see also Refs.…”

Section: Modelmentioning

confidence: 64%

“…As advocated in Refs. [32,33] this provides a simple and intuitive framework in which to discuss the absence of super-Mott behavior [39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Magnetic properties of the second Mott lobe in pairing Hamiltonians

et al. 2011

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We explore the Mott insulating state of single-band bosonic pairing Hamiltonians using analytical approaches and large-scale density matrix renormalization group calculations. We focus on the second Mott lobe which exhibits a magnetic quantum phase transition in the Ising universality class. We use this feature to discuss the behavior of a range of physical observables within the framework of the one-dimensional quantum Ising model and the strongly anisotropic Heisenberg model. This includes the properties of local expectation values and correlation functions both at and away from criticality. Depending on the microscopic interactions it is possible to achieve either antiferromagnetic or ferromagnetic exchange interactions and we highlight the possibility of observing the E 8 mass spectrum for the critical Ising model in a longitudinal magnetic field.

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“…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-Einstein Condensates

Cited by 26 publications

References 18 publications

Ultracold bosons with short-range interaction in regular optical lattices

Ultracold bosons with short-range interaction in regular optical lattices

Magnetic properties of the second Mott lobe in pairing Hamiltonians

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

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