TY - JOUR
T1 - Stability of symmetry breaking states in finite-size Dicke model with photon leakage
AU - Imai, R.
AU - Yamanaka, Y.
N1 - Funding Information:
We are grateful to K. Yuasa and Y. Nakamura for valuable discussions. We also thank YITP at Kyoto University and RIKEN iTHES/iTHEMS for offering us the opportunity to discuss this work during the workshops on “Thermal Quantum Field Theories and Their Applications” (2017) (YITP-W-17-11) and “Frontiers of nonequilibrium physics – Particle physics, cosmology, and condensed matter” (2017), respectively. This work is supported in part by JSPS KAKENHI Grant No. 16K05488.
Funding Information:
We are grateful to K. Yuasa and Y. Nakamura for valuable discussions. We also thank YITP at Kyoto University and RIKEN iTHES/iTHEMS for offering us the opportunity to discuss this work during the workshops on “Thermal Quantum Field Theories and Their Applications” (2017) (YITP-W-17-11) and “Frontiers of nonequilibrium physics – Particle physics, cosmology, and condensed matter” (2017), respectively. This work is supported in part by JSPS KAKENHI Grant No. 16K05488 .
Publisher Copyright:
© 2018 Elsevier B.V.
PY - 2018/11/23
Y1 - 2018/11/23
N2 - We investigate the finite-size Dicke model with photon leakage. It is shown that the symmetry breaking states, which are characterized by non-vanishing 〈aˆ〉≠0 and correspond to the ground states in the superradiant phase in the thermodynamic limit, are stable, while the eigenstates of the isolated finite-size Dicke Hamiltonian conserve parity symmetry. We introduce and analyze an effective master equation that describes the dynamics of a pair of the symmetry breaking states that are the degenerate lowest energy eigenstates in the superradiant region with photon leakage. It becomes clear that photon leakage is essential to stabilize the symmetry breaking states and to realize the superradiant phase without the thermodynamic limit. Our theoretical analysis provides an alternative interpretation using the finite-size model to explain results from cold atomic experiments showing superradiance with the symmetry breaking in an optical cavity.
AB - We investigate the finite-size Dicke model with photon leakage. It is shown that the symmetry breaking states, which are characterized by non-vanishing 〈aˆ〉≠0 and correspond to the ground states in the superradiant phase in the thermodynamic limit, are stable, while the eigenstates of the isolated finite-size Dicke Hamiltonian conserve parity symmetry. We introduce and analyze an effective master equation that describes the dynamics of a pair of the symmetry breaking states that are the degenerate lowest energy eigenstates in the superradiant region with photon leakage. It becomes clear that photon leakage is essential to stabilize the symmetry breaking states and to realize the superradiant phase without the thermodynamic limit. Our theoretical analysis provides an alternative interpretation using the finite-size model to explain results from cold atomic experiments showing superradiance with the symmetry breaking in an optical cavity.
KW - Decoherence
KW - Dicke model
KW - Open quantum system
KW - Quantum phase transition
KW - Superradiance
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U2 - 10.1016/j.physleta.2018.09.002
DO - 10.1016/j.physleta.2018.09.002
M3 - Article
AN - SCOPUS:85053011714
SN - 0375-9601
VL - 382
SP - 3333
EP - 3338
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 46
ER -