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Acta Physica Polonica A

Quantum Phase Diffusion in Two-Mode Bose-Einstein Condensates with Particle Losses

Jianning Liu, Jiahao Xu, Kejela Wodajo Ebawak, Xinfang Li, Heng-Na Xiong, Yixiao Huang

Published Oct 1, 2022• 0 citations
Publisher

Abstract

We study the effect of particle losses on dynamical phase diffusion in a two-mode Bose-Einstein condensate.Starting with an equal-population coherent state, the single-particle coherence is solved analytically by the Monte Carlo wave function method.We show that decoherence slows down the loss of single-particle coherence.Moreover, we find that the bigger phase diffusion is, the more sensitive to the noise it becomes.Finally, we discuss the effect of the losses on the spin squeezing and show that the squeezing angle is robust to the decoherence even though the value of the squeezing is greatly affected.

DOI
10.12693/aphyspola.142.510

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We study the effect of particle losses on dynamical phase diffusion in a two-mode Bose-Einstein condensate.Starting with an equal-population coherent state, the single-particle coherence is solved analytically by the Monte Carlo wave function method.We show that decoherence slows down the loss of single-particle coherence.Moreover, we find that the bigger phase diffusion is, the more sensitive to the noise it becomes.Finally, we discuss the effect of the losses on the spin squeezing and show that the squeezing angle is robust to the decoherence even though the value of the squeezing is greatly affected.
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We discuss the dynamics of a Bose-Einstein condensate in a double-well trap subject to phase noise and particle loss. The phase coherence of a weakly interacting condensate as well as the response to an external driving show a pronounced stochastic resonance effect: Both quantities become maximal for a finite value of the dissipation rate matching the intrinsic time scales of the system. Even stronger effects are observed when dissipation acts in concurrence with strong interparticle interactions, restoring the purity of the condensate almost completely and increasing the phase coherence significantly.
We discuss the dynamics of a Bose-Einstein condensate in a double-well trap subject to phase noise and particle loss. The phase coherence of a weakly interacting condensate, experimentally measured via the contrast in an interference experiment, as well as the response to an external driving becomes maximal for a finite value of the dissipation rate matching the intrinsic time scales of the system. This can be understood as a stochastic resonance of the many-particle system. Even stronger effects are observed when dissipation acts in concurrence with strong interparticle interactions, restoring the purity of the condensate almost completely and increasing the phase coherence significantly. Our theoretical results are backed by Monte Carlo simulations, which show a good qualitative agreement and provide a microscopic explanation for the observed stochastic resonance effect.
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