In the context of Gross-Pitaevskii theory, we investigate the unconventional Bose-Einstein condensations in the two-species mixture with $p$ -wave symmetry in the second band of a bipartite optical lattice. An imaginary-time propagation method is developed to numerically determine the $p$ -orbital condensation. Different from the single-species case, the two-species boson mixture exhibits two nonequivalent complex condensates in the intraspecies-interaction-dominating regime, exhibiting the vortex-antivortex lattice configuration in the charge and spin channels, respectively. When the interspecies interaction is tuned across the SU(2) invariant point, the system undergoes a quantum phase transition toward a checkerboardlike spin-density wave state with a real-valued condensate wave function. The influence of lattice asymmetry on the quantum phase transition is addressed. Finally, we present a phase-sensitive measurement scheme for experimentally detecting the unconventional Bose-Einstein condensation in our model.In the context of Gross-Pitaevskii theory, we investigate the unconventional Bose-Einstein condensations in the two-species mixture with $p$-wave symmetry in the second band of a bipartite optical lattice. An imaginary-time propagation method is developed to numerically determine the $p$-orbital condensation. Different from the single-species case, the two-species boson mixture exhibits two nonequivalent complex condensates in the intraspecies-interaction-dominating regime, exhibiting the vortex-antivortex lattice configuration in the charge and spin channels, respectively. When the interspecies interaction is tuned across the SU(2) invariant point, the system undergoes a quantum phase transition toward a checkerboardlike spin-density wave state with a real-valued condensate wave function. The influence of lattice asymmetry on the quantum phase transition is addressed. Finally, we present a phase-sensitive measurement scheme for experimentally detecting the unconventional Bose-Einstein condensation in our model.

arXiv:1508.02914Physical Review AMay 23, 20164 citations

Measurements of Relative Phase in Two-Component Bose-Einstein Condensates

David S. Hall, M. R. Matthews, Carl Wieman +1 more

WORLD SCIENTIFIC eBooksJan 1, 20081 citation

Phase estimation with interfering Bose-Einstein-condensed atomic clouds

Jan Chwedeńczuk, Francesco Piazza, Augusto Smerzi

We investigate how to estimate from atom-position measurements the relative phase of two Bose-Einstein condensates released from a double-well potential. We demonstrate that the phase-estimation sensitivity via the fit of the average density to the interference pattern is fundamentally bounded by shot noise. The shot noise can be overcome by estimating the phase from the measurement of order $\sqrt{N}$ (or higher) correlation functions. The optimal estimation strategy, saturating the quantum Fisher information, requires the measurement of the $N$ th-order correlation function. We demonstrate that a different estimation method---based on the detection of the center of mass of the interference pattern---also provides sub-shot-noise sensitivity. The implementation of both protocols, however, might be experimentally challenging.We investigate how to estimate from atom-position measurements the relative phase of two Bose-Einstein condensates released from a double-well potential. We demonstrate that the phase-estimation sensitivity via the fit of the average density to the interference pattern is fundamentally bounded by shot noise. The shot noise can be overcome by estimating the phase from the measurement of order $\sqrt{N}$ (or higher) correlation functions. The optimal estimation strategy, saturating the quantum Fisher information, requires the measurement of the $N$th-order correlation function. We demonstrate that a different estimation method---based on the detection of the center of mass of the interference pattern---also provides sub-shot-noise sensitivity. The implementation of both protocols, however, might be experimentally challenging.

arXiv:1007.0703Physical Review ANov 4, 201011 citations

Phase Separation of Two-Species Bose Condensates

Lou, Shu Sin; Yi-Hao Jhu; Chi-Yong Lin; Da-Shin Lee

Jan 1, 20080 citations

Dynamics of phase separation in two-species Bose-Einstein condensates with vortices

Soumik Bandyopadhyay, Arko Roy, D. Angom

We examine the dynamics associated with the miscibility-immiscibility transition of trapped two-species Bose-Einstein condensates (TBECs) of dilute atomic gases in the presence of vortices. In particular, we consider TBECs of Rb hyperfine states and Rb-Cs mixture. In the case of a singly charged vortex in only one of the condensates, there is enhancement when the vortex is present in the species which occupies the edges at phase separation. But suppression occurs when the vortex is in the species which occupies the core region. To examine the role of the vortex, we quench the interspecies interactions to drive the TBECs from miscible to immiscible phase, and use the time-dependent Gross-Pitaevskii equation to probe the phenomenon of phase separation. We also examine the effects of higher charged vortex to phase separation.We examine the dynamics associated with the miscibility-immiscibility transition of trapped two-species Bose-Einstein condensates (TBECs) of dilute atomic gases in the presence of vortices. In particular, we consider TBECs of Rb hyperfine states and Rb-Cs mixture. In the case of a singly charged vortex in only one of the condensates, there is enhancement when the vortex is present in the species which occupies the edges at phase separation. But suppression occurs when the vortex is in the species which occupies the core region. To examine the role of the vortex, we quench the interspecies interactions to drive the TBECs from miscible to immiscible phase, and use the time-dependent Gross-Pitaevskii equation to probe the phenomenon of phase separation. We also examine the effects of higher charged vortex to phase separation.

arXiv:1702.08204Physical Review AOct 4, 201726 citations

In the context of Gross-Pitaevskii theory, we investigate the unconventional Bose-Einstein condensations in the two-species mixture with

p

-wave symmetry in the second band of a bipartite optical lattice. An imaginary-time propagation method is developed to numerically determine the

p

-orbital condensation. Different from the single-species case, the two-species boson mixture exhibits two nonequivalent complex condensates in the intraspecies-interaction-dominating regime, exhibiting the vortex-antivortex lattice configuration in the charge and spin channels, respectively. When the interspecies interaction is tuned across the SU(2) invariant point, the system undergoes a quantum phase transition toward a checkerboardlike spin-density wave state with a real-valued condensate wave function. The influence of lattice asymmetry on the quantum phase transition is addressed. Finally, we present a phase-sensitive measurement scheme for experimentally detecting the unconventional Bose-Einstein condensation in our model.

\sqrt{N}

(or higher) correlation functions. The optimal estimation strategy, saturating the quantum Fisher information, requires the measurement of the

N

th-order correlation function. We demonstrate that a different estimation method---based on the detection of the center of mass of the interference pattern---also provides sub-shot-noise sensitivity. The implementation of both protocols, however, might be experimentally challenging.