Phase-controlled and chaos-assisted or -suppressed quantum entanglement for a spin-orbit coupled Bose-Einstein condensate

Abstract

It has been demonstrated that the presence of chaos may lead to greater entanglement generation for some physical systems. Here, we find different effects of chaos on the spin-motion entanglement for a two-frequency driven Bose-Einstein condensate with spin–orbit coupling. We analytically and numerically demonstrate that classical chaos can assist or suppress entanglement generation, depending on the initial phase differences between two motional states, which can be manipulated by using the known phase-engineering method. The results could be significant in engineering nonlinear dynamics for quantum information processing with many-body entanglement.

Transparently manipulating spin–orbit qubit via exact degenerate ground states*

“…Therefore, the spin-motion entanglement of Eq. ( 2) requires the linear independencies [26,27,58] of ψ + (x,t) and ψ − (x,t). The probabilities of the particle being in spin states | ↑ and | ↓ read P ± (t) = 1 2 |ψ ± (x,t)| 2 dx.…”

“…[10][11][12] Recently, realization of the laser-induced SOC [13,14] in the low-dimensional cold atom systems opens a broad avenue for studying the manybody quantum dynamics. [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] The atomic SOC with equal Rashba and Dresselhaus strengths [13,18] is equivalent to that of an electronic system with equal contribution from Rashba and Dresselhaus SOC. [21] A method of implementing arbitrary forms of SOC in a neutral particle system has also been reported.…”