Decoherence in simple experiments with Bose-Einstein condensates is of great importance for quantum engineering. We study a system of two colliding condensates in Fock and correlated states. During the collision some atoms are scattered out of the condensates, which leads to the decoherence. The quantum dynamics of the condensates is described by a master equation. In a simplified model we present analytical results. For more realistic conditions numerics is invoked. The depletion of the colliding condensates is accompanied by a decoherence.Decoherence in simple experiments with Bose-Einstein condensates is of great importance for quantum engineering. We study a system of two colliding condensates in Fock and correlated states. During the collision some atoms are scattered out of the condensates, which leads to the decoherence. The quantum dynamics of the condensates is described by a master equation. In a simplified model we present analytical results. For more realistic conditions numerics is invoked. The depletion of the colliding condensates is accompanied by a decoherence.

Physical Review AApr 27, 20091 citation

Dynamics of Bose-Einstein Condensates

Benjamin Schlein

arXiv:0704.0813New Trends in Mathematical PhysicsJan 1, 20097 citations

Dynamics of Dark Solitons in One-dimensional Bose-Einstein Condensates in An Expulsive Parabolic Potential

Lu Li

The motion of a dark soliton in one-dimensional Bose-Einstein condensates with an expulsive parabolic potential is investigated.Furthermore,the dynamics of dark soliton and the interaction between two dark solitons are discussed in detail by numerical simulation.The results show that the motion of dark soliton is periodical,and the interaction between two dark solitons exhibits to collide each other periodically.As the separation between two dark solitons becomes shorter,the periodical colliding is shrinking and the period of the colliding action is shorter.It is meaning for us to understand the dynamics of microphysical field.The motion of a dark soliton in one-dimensional Bose-Einstein condensates with an expulsive parabolic potential is investigated.Furthermore,the dynamics of dark soliton and the interaction between two dark solitons are discussed in detail by numerical simulation.The results show that the motion of dark soliton is periodical,and the interaction between two dark solitons exhibits to collide each other periodically.As the separation between two dark solitons becomes shorter,the periodical colliding is shrinking and the period of the colliding action is shorter.It is meaning for us to understand the dynamics of microphysical field.

Journal of Shanxi UniversityJan 1, 20070 citations

Collision of Bose-Einstein Condensates

Fabio Lingua, Luca Lepori, F. Minardi +2 more

Bulletin of the American Physical SocietyMar 7, 20190 citations

Bouncing motion and penetration dynamics in multicomponent Bose-Einstein condensates

Yujiro Eto, Masahiro O. Takahashi, Keita Nabeta +4 more

We investigate the dynamic properties of bouncing and penetration in colliding binary and ternary Bose-Einstein condensates comprised of different Zeeman or hyperfine states of $^{87}\mathrm{Rb}$ . Through the application of magnetic field gradient pulses, two- or three-component condensates in an optical trap are spatially separated and then made to collide. The subsequent evolutions are classified into two categories: repeated bouncing motion and mutual penetration after damped bounces. We experimentally observed mutual penetration for immiscible condensates, bouncing between miscible condensates, and domain formation for miscible condensates. From numerical simulations of the Gross-Pitaevskii equation, we find that the penetration time can be tuned by slightly changing the atomic interaction strengths.We investigate the dynamic properties of bouncing and penetration in colliding binary and ternary Bose-Einstein condensates comprised of different Zeeman or hyperfine states of $^{87}\mathrm{Rb}$. Through the application of magnetic field gradient pulses, two- or three-component condensates in an optical trap are spatially separated and then made to collide. The subsequent evolutions are classified into two categories: repeated bouncing motion and mutual penetration after damped bounces. We experimentally observed mutual penetration for immiscible condensates, bouncing between miscible condensates, and domain formation for miscible condensates. From numerical simulations of the Gross-Pitaevskii equation, we find that the penetration time can be tuned by slightly changing the atomic interaction strengths.

arXiv:1511.01624Physical Review AMar 8, 201620 citations

We investigate the dynamic properties of bouncing and penetration in colliding binary and ternary Bose-Einstein condensates comprised of different Zeeman or hyperfine states of

^{87}\mathrm{Rb}

. Through the application of magnetic field gradient pulses, two- or three-component condensates in an optical trap are spatially separated and then made to collide. The subsequent evolutions are classified into two categories: repeated bouncing motion and mutual penetration after damped bounces. We experimentally observed mutual penetration for immiscible condensates, bouncing between miscible condensates, and domain formation for miscible condensates. From numerical simulations of the Gross-Pitaevskii equation, we find that the penetration time can be tuned by slightly changing the atomic interaction strengths.