Quantum phase transition in a driven Tavis-Cummings model

J. H. Zou; T. Liu; M. Feng; W. L. Yang; C. Y. Chen; J. Twamley

doi:10.1088/1367-2630/15/12/123032

Quantum phase transition in a driven Tavis-Cummings model

J. H. Zou^*, T. Liu, M. Feng, W. L. Yang, C. Y. Chen, J. Twamley

^*Corresponding author for this work

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Abstract

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 spinfield coupling strength must be quite large. In this work we describe a new modelthe off-resonant TavisCummings 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 λ∼ λ_c≡√Δ_aΔ_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|λ^x(λ(Z) (z ) and 〈aa〉/N ∼ |λ/ λ_c - 1| _λa for λ ≥ λ_c, with critical exponents λ_x ≈ 1/2, λ_z ≈ 1 and λ_a ≈ 1. We show that this QPT can be immediately observed by laboratory cavity-QED setups such as BoseEinstein condensate in optical cavity and superconducting circuit-QED as well as a line of trapped ultracold ions.

Original language	English
Article number	123032
Pages (from-to)	1-10
Number of pages	10
Journal	New Journal of Physics
Volume	15
DOIs	https://doi.org/10.1088/1367-2630/15/12/123032
Publication status	Published - Dec 2013

Bibliographical note

Copyright 2013 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. First published in New J. Phys. 15 123032. The original publication is available at http://www.doi.org/10.1088/1367-2630/15/12/123032, published by IOP Publishing. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

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title = "Quantum phase transition in a driven Tavis-Cummings model",

abstract = "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 spinfield coupling strength must be quite large. In this work we describe a new modelthe off-resonant TavisCummings 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 λ∼ λc≡√ΔaΔc. Through analytic methods we demonstrate this QPT for both finite and infinite numbers of spins and show that |〈Jx (Jz)〉|/(N/2) ∼|λ/ λc - 1|λx(λ(Z) (z ) and 〈aa〉/N ∼ |λ/ λc - 1| λa for λ ≥ λc, with critical exponents λx ≈ 1/2, λz ≈ 1 and λa ≈ 1. We show that this QPT can be immediately observed by laboratory cavity-QED setups such as BoseEinstein condensate in optical cavity and superconducting circuit-QED as well as a line of trapped ultracold ions.",

author = "Zou, {J. H.} and T. Liu and M. Feng and Yang, {W. L.} and Chen, {C. Y.} and J. Twamley",

note = "Copyright 2013 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. First published in New J. Phys. 15 123032. The original publication is available at http://www.doi.org/10.1088/1367-2630/15/12/123032, published by IOP Publishing. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.",

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AU - Twamley, J.

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PY - 2013/12

Y1 - 2013/12

N2 - 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 spinfield coupling strength must be quite large. In this work we describe a new modelthe off-resonant TavisCummings 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 λ∼ λc≡√ΔaΔc. Through analytic methods we demonstrate this QPT for both finite and infinite numbers of spins and show that |〈Jx (Jz)〉|/(N/2) ∼|λ/ λc - 1|λx(λ(Z) (z ) and 〈aa〉/N ∼ |λ/ λc - 1| λa for λ ≥ λc, with critical exponents λx ≈ 1/2, λz ≈ 1 and λa ≈ 1. We show that this QPT can be immediately observed by laboratory cavity-QED setups such as BoseEinstein condensate in optical cavity and superconducting circuit-QED as well as a line of trapped ultracold ions.

AB - 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 spinfield coupling strength must be quite large. In this work we describe a new modelthe off-resonant TavisCummings 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 λ∼ λc≡√ΔaΔc. Through analytic methods we demonstrate this QPT for both finite and infinite numbers of spins and show that |〈Jx (Jz)〉|/(N/2) ∼|λ/ λc - 1|λx(λ(Z) (z ) and 〈aa〉/N ∼ |λ/ λc - 1| λa for λ ≥ λc, with critical exponents λx ≈ 1/2, λz ≈ 1 and λa ≈ 1. We show that this QPT can be immediately observed by laboratory cavity-QED setups such as BoseEinstein condensate in optical cavity and superconducting circuit-QED as well as a line of trapped ultracold ions.

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Quantum phase transition in a driven Tavis-Cummings model

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