Quantum phase transition in a driven Tavis–Cummings model

Autor: J H Zou, T Liu, M Feng, W L Yang, C Y Chen, J Twamley
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: New Journal of Physics, Vol 15, Iss 12, p 123032 (2013)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/15/12/123032
Popis: Quantum phase transitions (QPTs) describe when a many-body quantum system displays non-analytic behavior associated with a discontinuous change in a property of the ground state as a parameter is varied. The QPT in prototypical Dicke model is difficult to reach experimentally as the spin–field coupling strength must be quite large. In this work we describe a new model—the off-resonant Tavis–Cummings model where we drive the common mode, and discover a new type of QPT at quite low coupling strengths which are comparable with the geometric mean of the atomic and field detunings $\lambda \sim \lambda _{\mathrm { c}}\equiv \sqrt {\Delta _{\mathrm { a}}\Delta _{\mathrm { c}}}$ . Through analytic methods we demonstrate this QPT for both finite and infinite numbers of spins and show that |〈 J _x ( J _z )〉|/( N /2) ∼ | λ / λ _c − 1| ^γ ^x_x ^( ^γ ^z_z ^) and 〈 a ^† a 〉/ N ∼ | λ / λ _c − 1| ^γ ^a_a for λ ⩾ λ _c , with critical exponents γ _x ≈ 1/2, γ _z ≈ 1 and γ _a ≈ 1. We show that this QPT can be immediately observed by laboratory cavity-QED setups such as Bose–Einstein condensate in optical cavity and superconducting circuit-QED as well as a line of trapped ultracold ions.
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