Quantum particles in a moving potential

Ahumada-Centeno, Miguel; Amore, Paolo; Fernández, Francisco M.; Manzanares-Martinez, J.

doi:10.1088/1402-4896/ab80e6

Cited by 5 publications

(3 citation statements)

References 21 publications

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“…Among these perturbations, we can presuppose the scenario in which MWSs are dragged by mobile potentials with constant velocity. Adhikari et al [19] and Malomed et al [20] observed gap soliton stabilities in superfluids Fermi gases (SFG) trapped in mobile optical lattices, Muruganandam et al [21] observed gap solitons in a dipolar BEC trapped in mobile optical lattices and, recently, Ahumada‐Centeno et al [22] studied the behavior of quantum particles confined to mobile potentials. Anyway, BECs subject to these configurations have very interesting properties that can be applied in several situations, such as solitons propagation in optical fibers [23], ultrashort optical pulses in fiber couplers [24] and stability of solitary waves in Kerr media [25].…”

Section: Introductionmentioning

confidence: 99%

Dynamics and stability of matter‐wave solitons in cigar‐shaped Bose–Einstein condensates dragged by Pöschl–Teller potential

Pereira

Marangoni

Nascimento

2021

Int J of Quantum Chemistry

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In this paper, we theoretically investigate the dynamics and stability of matter‐wave solitons (MWS) in a cigar‐shaped Bose–Einstein condensate (BEC) consisting of atoms with attractive interatomic interactions trapped by Pöschl–Teller (PT) potential. In this scenario, we propose the idea of the BEC being dragged by PT potential at a constant speed. The BEC was modeled by the quasi‐one‐dimensional Gross–Piteaevskii Equation (1D‐GPE). In addition, an analytical (time‐dependent variational method) and numerical (split‐step Crank–Nicolson method) approach has been proposed to investigate the dynamic properties of solitons during the temporal evolution of this system. Both analytical and numerical results demonstrated that MWSs dragged by PT potential can be stable. From a general point of view, the results obtained in this paper can motivate both theoretical and experimental investigations on the dynamics and stability of solitons in dilute and ultracold unitary Bose gases trapped by PT potential, nonlinear optical properties in PT quantum wells, and propagation of solitons in nonlinear media.

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Section: Introductionmentioning

confidence: 99%

Dynamics and stability of matter‐wave solitons in cigar‐shaped Bose–Einstein condensates dragged by Pöschl–Teller potential

Pereira

Marangoni

Nascimento

2021

Int J of Quantum Chemistry

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“…[9] At finite temperatures, therefore, the moiré potential is dynamic and the charge carriers reside in a highly mobile trapping potential. The behaviour of a quantum particle in such a time-dependent trapping potential is an interesting problem [10][11][12] with applications to quantum transients [13], transport of small particles using scanning tunnelling microscopy or optical tweezers, and charge transport [14].…”

mentioning

confidence: 99%

Electrons surf phason waves in moiré bilayers

Maity¹,

Mostofi²,

Lischner³

2023

Preprint

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We investigate the effect of thermal fluctuations on the atomic and electronic structure of a twisted MoSe2/WSe2 heterobilayer using a combination of classical molecular dynamics and ab-initio density functional theory calculations. Our calculations reveal that thermally excited phason modes give rise to an almost rigid motion of the moiré lattice. Electrons and holes in low-energy states are localized in specific stacking regions of the moiré unit cell and follow the thermal motion of these regions. In other words, charge carriers surf phason waves that are excited at finite temperatures. Small displacements at the atomic scale are amplified at the moiré scale, which gives rise to significant surfing speeds. We also show that such surfing survives in the presence of a substrate and disorder. This effect has potential implications for the design of charge and exciton transport devices based on moiré materials.

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“…At finite temperatures, therefore the moiré potential is dynamic, and the charge carriers reside in a highly mobile trapping potential. The behavior of a quantum particle in such a time-dependent trapping potential is an interesting problem − with applications to quantum transients, transport of small particles using scanning tunneling microscopy or optical tweezers, and charge transport …”

mentioning

confidence: 99%

Electrons Surf Phason Waves in Moiré Bilayers

2023

View full text Add to dashboard Cite

We investigate the effect of thermal fluctuations on the atomic and electronic structure of a twisted MoSe2/WSe2 heterobilayer using a combination of classical molecular dynamics and ab initio density functional theory calculations. Our calculations reveal that thermally excited phason modes give rise to an almost rigid motion of the moiré lattice. Electrons and holes in low-energy states are localized in specific stacking regions of the moiré unit cell and follow the thermal motion of these regions. In other words, charge carriers surf phason waves that are excited at finite temperatures. We also show that such surfing survives in the presence of a substrate and frozen potential. This effect has potential implications for the design of charge and exciton transport devices based on moiré materials.

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Quantum particles in a moving potential

Cited by 5 publications

References 21 publications

Dynamics and stability of matter‐wave solitons in cigar‐shaped Bose–Einstein condensates dragged by Pöschl–Teller potential

Dynamics and stability of matter‐wave solitons in cigar‐shaped Bose–Einstein condensates dragged by Pöschl–Teller potential

Electrons surf phason waves in moiré bilayers

Electrons Surf Phason Waves in Moiré Bilayers

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