The effects of trap-confinement and interatomic interactions on Josephson effects and macroscopic quantum self-trapping for a Bose–Einstein condensate

Saha, Abhik Kumar; Adhikary, Kingshuk; Mal, Subhanka; Dastidar, Krishna Rai; Deb, Bimalendu

doi:10.1088/1361-6455/ab2b58

Cited by 5 publications

(8 citation statements)

References 47 publications

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“…5(b). The self-trapping effect has been obtained previously in our group [65] for non-dipolar cold atoms trapped in a double well in case of strong confinement i.e. the asymmetry parameter λ << 1.…”

Section: Effect Of Coherent Coupling On the Dynamics Of Population In...supporting

confidence: 62%

“…We considered three types of interaction potentials (i) contact, (ii)long range dipolar and (iii) finite range potentials. We found that by varying the aspect ratio of the trap (i) transition from JO to MQSt occurs for small atom-atom interactions (ii) transition from Rabi to JO and JO to MQST occurs for long range dipolar interaction and transition from JO to MQST occurs even if scattering length is relatively large in the region of narrow Feshbach resonance due to finite range effects [65].…”

Section: Introductionmentioning

confidence: 91%

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Dynamics of dipolar Atom-Molecular BEC in a double well potential: Effect of atom-molecular coherent coupling

Dastidar,

Gupta

2021

Preprint

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In the present work we have studied the dynamics of dipolar atommolecular Bose Einstein Condensates coupled via Feshbach Resonance in a double well potential. We have numerically solved four coupled GP like equations, two for left well and two for right well for this atom molecular coupled system. Our numerical results show that both the long-range dipole-dipole interaction (chosen to be positive) and the coherent coupling interaction (which is positive for bosons) facilitate the transmission of atoms and molecules from left well to the right well when the population in the right well dominates over that in the left well and is trapped for a period of time. Whereas in absence of any one of these interactions probability of transient transmission decreases. However in absence of both the interactions (dipole-dipole and coherent coupling) i.e. when only the repulsive contact interaction is present, it leads to self trapping in the left well for a period of time. It is also shown that the signature of coherent coupling between atoms and molecules on the density distribution of atoms in the double well potential is present both in absence and presence of dipole-dipole interaction.

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Section: Effect Of Coherent Coupling On the Dynamics Of Population In...supporting

confidence: 62%

Section: Introductionmentioning

confidence: 91%

Dynamics of dipolar Atom-Molecular BEC in a double well potential: Effect of atom-molecular coherent coupling

Dastidar,

Gupta

2021

Preprint

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“…The other three interaction parameters U i , K and I are usually smaller than U by two orders of magnitude for small r 0 , otherwise they show the similar dependence on | | a s as in the case of U. However, for the condition κr 0 =1, which may apply to a narrow Feshbach resonance, U may become zero or negative near the resonance while the the other three interaction parameters remaining finite [39]. There one might find the other interaction parameters (U i , K, I) comparable to the onsite interaction (U).…”

Section: Building Up the Models: Calculation Of Interaction Parametersmentioning

confidence: 85%

“…For small | | a s regime, U varies almost linearly with | | a s as in the case of contact interaction. In the other condition κr 0 =1 for positive a s , U varies highly nonlinearly as shown in [39]. So far we have presented the results on U only.…”

Section: Building Up the Models: Calculation Of Interaction Parametersmentioning

confidence: 87%

Fermionic versus bosonic two-site Hubbard models with a pair of interacting cold atoms

Mal¹,

Adhikary²,

Deb³

2019

J. Phys. B: At. Mol. Opt. Phys.

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In a recent work, Murmann et. al. [Phys. Rev. Lett. 114, 080402 (2015)] have experimentally prepared and manipulated a double-well optical potential containing a pair of Fermi atoms as a possible building block of Hubbard model. Here, we carry out a detailed theoretical study on the properties of both fermionic and bosonic two-site Hubbard models with a pair of interacting atoms in a trap with a double-well structure along z-axis and a 2D harmonic confinement along the transverse directions. We consider fermions as of two-component type and bosons as of spinless as well as of two spin components. We first discuss building up the Hubbard models using the model finite-range interaction potentials of Jost and Kohn. In general, a finite range of interaction leads to on-site, inter-site, exchange and partial-exchange terms. We show that, given the same input parameters for both bosonic and fermionic two-site Hubbard models, many of the statistical properties such as the single-and double-occupancy of a site, and the probabilities for the single-particle and pair tunneling are similar in both fermionic and bosonic cases. But, quantum entanglement and quantum fluctuations are found to be markedly different for the two cases. We discuss atom-atom entanglement in two spatial modes corresponding to the two sites of the double-well. Our results show that the entanglement of a pair of spin-half fermions is always greater than that of spinless bosons; and when the fermions are maximally entangled the fluctuation in the two-mode phase difference is largely squeezed. In contrast, spinless bosons never exhibit phase squeezing, but shows squeezing in two-mode population imbalance depending on the system parameters.

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“…The former geometry is adapted for matter wave interferometry [33,34,37], while the latter enables the realization of atomic circuits [21,23,[38][39][40]. The effective dimension is crucial to determine the excitations involved in the dynamics [41,42]: in three dimensions vortex lines decaying into vortex rings [43], in two dimensions point-like vortices carrying phase-slips [44,45] and in one dimension (1D), for which no vortex can exist, solitons and dispersive shock waves (DSW) [22,46,47]. Furthermore, in all dimensions the excess energy can be dissipated into a phonon bath, allowing for a relaxation of the JO.…”

Section: Introductionmentioning

confidence: 99%

Dynamical phase diagram of a one-dimensional Bose gas in a box with a tunable weak link: From Bose-Josephson oscillations to shock waves

Saha

Dubessy²

2021

Phys. Rev. A

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We study the dynamics of one-dimensional bosons trapped in a box potential, in the presence of a barrier creating a tunable weak-link, thus realizing a one dimensional Bose-Josephson junction. By varying the initial population imbalance and the barrier height we evidence different dynamical regimes. In particular we show that at large barriers a two mode model captures accurately the dynamics, while for low barriers the dynamics involves dispersive shock waves and solitons. We study a quench protocol that can be readily implemented in experiments and show that self-trapping resonances can occur. This phenomenon can be understood qualitatively within the two-mode model.

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The effects of trap-confinement and interatomic interactions on Josephson effects and macroscopic quantum self-trapping for a Bose–Einstein condensate

Cited by 5 publications

References 47 publications

Dynamics of dipolar Atom-Molecular BEC in a double well potential: Effect of atom-molecular coherent coupling

Dynamics of dipolar Atom-Molecular BEC in a double well potential: Effect of atom-molecular coherent coupling

Fermionic versus bosonic two-site Hubbard models with a pair of interacting cold atoms

Dynamical phase diagram of a one-dimensional Bose gas in a box with a tunable weak link: From Bose-Josephson oscillations to shock waves

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