PT-symmetric potential impact on the scattering of a Bose-Einstein condensate from a Gaussian Obstacle

Hussain, Jameel; Nouman, Muhammad; Saif, Farhan; Akram, Javed

doi:10.1016/j.physb.2020.412152

Cited by 5 publications

(2 citation statements)

References 41 publications

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“…While the non-conservative term describes the complex part of the external potential. By using the Lagrangian L, we deter- mine the complex Ginzburg-Landau equation (CGLE) as [18,25,26]…”

Section: A Analytical Methodsmentioning

confidence: 99%

“…Such a lattice potential offers friction for the dipole oscillations of the BEC. The idea of P T -symmetric potential represents the scenario in which there are alternative gain and lost regions in an optical lattice, e.g, as explained for double-well confinement [18]. In an optical lattice, the transmission between adjacent wells is controlled by controlling the tunneling between the wells.…”

Section: Introductionmentioning

confidence: 99%

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Thermalization of isolated Bose–Einstein condensate under a parity–time-symmetric environment

et al. 2021

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The postulates of the eigenstate thermalization hypothesis (ETH) expresses that the thermalization occurs due to the individual eigenstate of the system’s Hamiltonian. But the ETH sheds no light on the dynamics that lead toward the thermalization. In this paper, we observe the thermalization of a Bose–Einstein condensate (BEC) confined in an optical lattice potential that is embedded on the harmonic trap. Such optical lattice potential offers local friction to the oscillating BEC. The spread in the temporal density plot of BEC shows the thermalization of the BEC. Moreover, we observe that the presence of a parity–time (PT)-symmetric potential greatly influences the BEC dynamics and the thermalization of the system. The presence of a PT-symmetric potential offers a way to manipulate the mean position of the BEC to a desired location and for a desired length of time.

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“…While the non-conservative term describes the complex part of the external potential. By using the Lagrangian L, we deter- mine the complex Ginzburg-Landau equation (CGLE) as [18,25,26]…”

Section: A Analytical Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%