Two-component interference effect in one- and two-dimensional systems

Scattering theory traditionally deals with the asymptotic behavior of a system far removed from the actual scattering event. Here we present an experimental study of the one-dimensional scattering of a noninteracting condensate of ${}^{87}\mathrm{Rb}$ atoms from a potential barrier in the nonasymptotic regime for which the collision dynamics are still ongoing. We show that, for near-transparent barriers, there are two distinct transient scattering effects that arise and dramatically change the momentum distribution during the collision: a deceleration of wave-packet components in midcollision and an interference between incident and transmitted portions of the wave packet. Both effects lead to the re-distribution of momenta giving rise to a rich interference pattern that can be used to reconstruct the single-particle phase profile.Scattering theory traditionally deals with the asymptotic behavior of a system far removed from the actual scattering event. Here we present an experimental study of the one-dimensional scattering of a noninteracting condensate of ${}^{87}\mathrm{Rb}$ atoms from a potential barrier in the nonasymptotic regime for which the collision dynamics are still ongoing. We show that, for near-transparent barriers, there are two distinct transient scattering effects that arise and dramatically change the momentum distribution during the collision: a deceleration of wave-packet components in midcollision and an interference between incident and transmitted portions of the wave packet. Both effects lead to the re-distribution of momenta giving rise to a rich interference pattern that can be used to reconstruct the single-particle phase profile.

arXiv:1303.1137Physical Review ANov 26, 20132 citations

Interference properties of two-component matter wave solitons

Yan-Hong Qin, Yong Wu, Li-Chen Zhao +1 more

Wave properties of solitons in a two-component Bose–Einstein condensate are investigated in detail. We demonstrate that dark solitons in one of components admit interference and tunneling behavior, in sharp contrast to the scalar dark solitons and vector dark solitons. Analytic analyses of interference properties show that spatial interference patterns are determined by the relative velocity of solitons, while temporal interference patterns depend on the velocities and widths of two solitons, differing from the interference properties of scalar bright solitons. Especially, for an attractive interactions system, we show that interference effects between the two dark solitons can induce some short-time density humps (whose densities are higher than background density). Moreover, the maximum hump value is remarkably sensitive to the variation of the solitons’ parameters. For a repulsive interactions system, the temporal-spatial interference periods of dark–bright solitons have lower limits. Numerical simulation results suggest that interference patterns for the dark–bright solitons are more robust against noises than bright–dark solitons. These explicit interference properties can be used to measure the velocities and widths of solitons. It is expected that these interference behaviors can be observed experimentally and can be used to design matter wave soliton interferometer in vector systems.Wave properties of solitons in a two-component Bose–Einstein condensate are investigated in detail. We demonstrate that dark solitons in one of components admit interference and tunneling behavior, in sharp contrast to the scalar dark solitons and vector dark solitons. Analytic analyses of interference properties show that spatial interference patterns are determined by the relative velocity of solitons, while temporal interference patterns depend on the velocities and widths of two solitons, differing from the interference properties of scalar bright solitons. Especially, for an attractive interactions system, we show that interference effects between the two dark solitons can induce some short-time density humps (whose densities are higher than background density). Moreover, the maximum hump value is remarkably sensitive to the variation of the solitons’ parameters. For a repulsive interactions system, the temporal-spatial interference periods of dark–bright solitons have lower limits. Numerical simulation results suggest that interference patterns for the dark–bright solitons are more robust against noises than bright–dark solitons. These explicit interference properties can be used to measure the velocities and widths of solitons. It is expected that these interference behaviors can be observed experimentally and can be used to design matter wave soliton interferometer in vector systems.

arXiv:1809.10926Chinese Physics BDec 26, 201925 citations

Tunneling assisted interference in double-well levitodynamics

Yue Ma, Endre Bokor, M. S. Kim

Levitated particles trapped in double-well potentials provide a promising platform for exploring quantum dynamics beyond the harmonic regime. We show that such systems exhibit a distinctive quantum signature arising from tunneling-assisted interference. Unlike classical dynamics, where the two wells are disconnected, in the quantum case, quantum tunneling enables eigenstates to delocalize into the other well, creating nonzero overlaps between adjacent eigenstates that introduce low-frequency components into the evolution of the mean particle position. By comparing quantum and classical dynamics of particles in one-dimensional double-well potentials, we demonstrate that this interference is uniquely quantum and can be identified through the oscillation of the average position alone. We further relate the observed spectral peaks to the structure of the energy eigenvalues. The effect provides a promising probe of the quantum signature of levitated particle motion, and has fundamental importance as it predicts the demonstration of two major phenomena of quantum mechanics, quantum tunneling and quantum interference, at the same time and on the same system.Levitated particles trapped in double-well potentials provide a promising platform for exploring quantum dynamics beyond the harmonic regime. We show that such systems exhibit a distinctive quantum signature arising from tunneling-assisted interference. Unlike classical dynamics, where the two wells are disconnected, in the quantum case, quantum tunneling enables eigenstates to delocalize into the other well, creating nonzero overlaps between adjacent eigenstates that introduce low-frequency components into the evolution of the mean particle position. By comparing quantum and classical dynamics of particles in one-dimensional double-well potentials, we demonstrate that this interference is uniquely quantum and can be identified through the oscillation of the average position alone. We further relate the observed spectral peaks to the structure of the energy eigenvalues. The effect provides a promising probe of the quantum signature of levitated particle motion, and has fundamental importance as it predicts the demonstration of two major phenomena of quantum mechanics, quantum tunneling and quantum interference, at the same time and on the same system.

quant-pharXiv:2609.01700Sep 2, 20260 citations

INTERFERENCE EFFECTS IN TWO-RESONANCE SYSTEM.

G.I. Kopylov, M.I. Podgoretskii

Jan 1, 19712 citations

Correlation effects in one-dimensional systems

J. M. P. Carmelo, Pedro D Sacramento, D. Bozi +1 more

WORLD SCIENTIFIC eBooksJul 1, 20070 citations

{}^{87}\mathrm{Rb}

atoms from a potential barrier in the nonasymptotic regime for which the collision dynamics are still ongoing. We show that, for near-transparent barriers, there are two distinct transient scattering effects that arise and dramatically change the momentum distribution during the collision: a deceleration of wave-packet components in midcollision and an interference between incident and transmitted portions of the wave packet. Both effects lead to the re-distribution of momenta giving rise to a rich interference pattern that can be used to reconstruct the single-particle phase profile.