Dephasing and breakdown of adiabaticity in the splitting of Bose Einstein Condensates

Abstract

We study the quantum dynamics of a BEC condensate trapped in a double-well potential with a rising interwell barrier. We analytically find the characteristic time scales of the splitting process and compare our results with numerical analyses available in the literature. In first stage of the dynamics, the condensate follows adiabatically the rising of the interwell barrier. At a critical time $t_{ad}$, small amplitude fluctuations around the average trajectory increase exponentially fast, signaling the break-down of adiabaticity. We have found a highly non-trivial dependence of the dephasing time $t_D$, defined by ${\sigma }_{\varphi }(t_D)=1$, where ${\sigma }_{\varphi }(t)$ is the dynamical quantum phase spreading, on $t_{ad}$ and on the ramping time of the interwell barrier.

References in corpus (6)

• Atom interferometry with Bose-Einstein condensates in a double-well potential
• Josephson effect between trapped Bose-Einstein condensates
• Continuous Observation of Interference Fringes from Bose Condensates
• Interference of Bose condensates
• Dynamic splitting of a Bose-Einstein Condensate
• Macroscopic Quantum Fluctuations in the Josephson Dynamics of Two Weakly Linked Bose-Einstein Condensates

Cited by in corpus (7)

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• Engineering fast and stable splitting of matter waves
• Exact dynamics of a one dimensional Bose gas in a periodic time-dependent harmonic trap
• Particle in a box with a time-dependent $\delta$-function potential