The dissipative dynamics of a pointlike Josephson junction in binary Bose-Einstein-condensed mixtures is analyzed within the framework of the model of a tunneling Hamiltonian. The transmission of unlike particles across a junction is described by the different transmission amplitudes. The effective action that describes the dynamics of the phase differences across the junction for each of two condensed components is derived by employing the functional integration method. In the low-frequency limit the dynamics of a Josephson junction can be described by two coupled equations in terms of the potential energy and dissipative Rayleigh function using a mechanical analogy. The interplay between mass currents of each mixture component appears in the second-order term in the tunneling amplitudes due to the interspecies hybridizing interaction. The asymmetric case of the binary mixtures with different concentrations and order parameters is considered as well.The dissipative dynamics of a pointlike Josephson junction in binary Bose-Einstein-condensed mixtures is analyzed within the framework of the model of a tunneling Hamiltonian. The transmission of unlike particles across a junction is described by the different transmission amplitudes. The effective action that describes the dynamics of the phase differences across the junction for each of two condensed components is derived by employing the functional integration method. In the low-frequency limit the dynamics of a Josephson junction can be described by two coupled equations in terms of the potential energy and dissipative Rayleigh function using a mechanical analogy. The interplay between mass currents of each mixture component appears in the second-order term in the tunneling amplitudes due to the interspecies hybridizing interaction. The asymmetric case of the binary mixtures with different concentrations and order parameters is considered as well.

arXiv:1104.0647Physical Review AJun 21, 20112 citations

Quantum states in a bosonic Josephson junction

Luca Salasnich

Springer eBooksJan 1, 20200 citations

Two component bosonic Josephson junctions in elongated traps

M. Melé-Messeguer, Bruno Juliá-Díaz, M. Guilleumas +1 more

We study binary mixtures of Bose–Einstein condensates confined in a two-well potential within the framework of the Gross–Pitaevskii equation. We re-examine both the single component and the binary mixture cases for such a potential. We investigate the most usual dimensional reductions used to solve the Gross–Pitaevskii equations, including the one proposed by Reatto and collaborators. To this end, we compare numerical simulations of the 1D reductions with the full 3D numerical solutions of the Gross–Pitaevskii equation. Our analysis considers an experimentally feasible binary mixture of an F = 1 spinor condensate where two of its Zeeman manifolds are populated.We study binary mixtures of Bose–Einstein condensates confined in a two-well potential within the framework of the Gross–Pitaevskii equation. We re-examine both the single component and the binary mixture cases for such a potential. We investigate the most usual dimensional reductions used to solve the Gross–Pitaevskii equations, including the one proposed by Reatto and collaborators. To this end, we compare numerical simulations of the 1D reductions with the full 3D numerical solutions of the Gross–Pitaevskii equation. Our analysis considers an experimentally feasible binary mixture of an F = 1 spinor condensate where two of its Zeeman manifolds are populated.

Molecular PhysicsOct 14, 20110 citations

Bose–Einstein condensation in binary mixture of Bose gases

Trân Hũu Phát, Le Viet Hoa, Nguyen Tuan Anh +1 more

Annals of PhysicsJul 19, 200925 citations

Quantum noise thermometry for bosonic Josephson junctions in the mean-field regime

Alex D. Gottlieb, Thorsten Schumm

Bosonic Josephson junctions can be realized by confining ultracold gases of bosons in multiwell traps and studied theoretically with the $M$ -site Bose-Hubbard model. We show that canonical equilibrium states of the $M$ -site Bose-Hubbard model may be approximated by mixtures of coherent states, provided the number of atoms is large and the total energy is comparable to ${k}_{B}T$ . Using this approximation, we study thermal fluctuations in bosonic Josephson junctions in the mean-field regime. Statistical estimates of the fluctuations of relative phase and number, obtained by averaging over many replicates of an experiment, can be used to estimate the temperature and the tunneling parameter or to test whether the experimental procedure is effectively sampling from a canonical thermal equilibrium ensemble.Bosonic Josephson junctions can be realized by confining ultracold gases of bosons in multiwell traps and studied theoretically with the $M$-site Bose-Hubbard model. We show that canonical equilibrium states of the $M$-site Bose-Hubbard model may be approximated by mixtures of coherent states, provided the number of atoms is large and the total energy is comparable to ${k}_{B}T$. Using this approximation, we study thermal fluctuations in bosonic Josephson junctions in the mean-field regime. Statistical estimates of the fluctuations of relative phase and number, obtained by averaging over many replicates of an experiment, can be used to estimate the temperature and the tunneling parameter or to test whether the experimental procedure is effectively sampling from a canonical thermal equilibrium ensemble.

arXiv:0905.2491Physical Review AJun 1, 20097 citations

Bosonic Josephson junctions can be realized by confining ultracold gases of bosons in multiwell traps and studied theoretically with the

M

-site Bose-Hubbard model. We show that canonical equilibrium states of the

M

-site Bose-Hubbard model may be approximated by mixtures of coherent states, provided the number of atoms is large and the total energy is comparable to

{k}_{B}T

. Using this approximation, we study thermal fluctuations in bosonic Josephson junctions in the mean-field regime. Statistical estimates of the fluctuations of relative phase and number, obtained by averaging over many replicates of an experiment, can be used to estimate the temperature and the tunneling parameter or to test whether the experimental procedure is effectively sampling from a canonical thermal equilibrium ensemble.