Volume 113, Number 5, March 2016
|Number of page(s)||6|
|Published online||22 March 2016|
Kibble-Zurek dynamics in an array of coupled binary Bose condensates
1 School of Physics and Astronomy, Sun Yat-Sen University - Guangzhou 510275, China
2 State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University Guangzhou 510275, China
3 Center of Experimental Teaching for Common Basic Courses, South China Agriculture University Guangzhou 510642, China
4 Department of Physics, Jishou University - Jishou 416000, China
Received: 22 November 2015
Accepted: 8 March 2016
Universal dynamics of spontaneous symmetry breaking is central to understanding the universal behavior of spontaneous defect formation in various systems from the early universe, condensed-matter systems to ultracold atomic systems. We explore the universal real-time dynamics in an array of coupled binary atomic Bose-Einstein condensates in optical lattices, which undergo a spontaneous symmetry breaking from the symmetric Rabi oscillation to the broken-symmetry self-trapping. In addition to Goldstone modes, there exist gapped Higgs modes whose excitation gap vanishes at the critical point. In the slow passage through the critical point, we analytically find that the symmetry-breaking dynamics obeys the Kibble-Zurek mechanism. From the scalings of bifurcation delay and domain formation, we numerically extract two Kibble-Zurek exponents, and , which give the static correlation-length critical exponent ν and the dynamic critical exponent z. Our approach provides an efficient way for the simultaneous determination of the critical exponents ν and z for a continuous phase transition.
PACS: 03.75.Kk – Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow / 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations / 03.75.Mn – Multicomponent condensates; spinor condensates
© EPLA, 2016
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