Abstract
We investigate the dynamical properties of the finite-size Dicke model coupled to a photon reservoir in the dispersive regime. The system–reservoir coupling in our Hamiltonian includes counter-rotating terms, which are relevant in the strong atom–cavity coupling. Because the dispersive regime is considered, the dynamics of low-energy states are described sufficiently accurately within the finite-dimensional subspace of the dressed states. Using the separation of the time scales between the system and the reservoir, we derive the Markovian quantum master equation in the subspace without ignoring the counter-rotating terms. The temporal evolution of the expectation of the cavity mode shows that the bifurcation of the long-lived state corresponds to the superradiant transition in the isolated model. The master equation explicitly gives the steady state solution. The numerical results for the first-order correlation function on the steady state indicate that the strong atom–cavity coupling enhances the coherence and softens the dephasing in the superradiant region.
| Language | English |
|---|---|
| Article number | 024401 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 88 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2019 Jan 1 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Dynamical Properties of the Finite-size Dicke Model Coupled to a Thermal Reservoir. / Imai, Ryosuke; Yamanaka, Yoshiya.
In: Journal of the Physical Society of Japan, Vol. 88, No. 2, 024401, 01.01.2019.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Dynamical Properties of the Finite-size Dicke Model Coupled to a Thermal Reservoir
AU - Imai, Ryosuke
AU - Yamanaka, Yoshiya
PY - 2019/1/1
Y1 - 2019/1/1
N2 - We investigate the dynamical properties of the finite-size Dicke model coupled to a photon reservoir in the dispersive regime. The system–reservoir coupling in our Hamiltonian includes counter-rotating terms, which are relevant in the strong atom–cavity coupling. Because the dispersive regime is considered, the dynamics of low-energy states are described sufficiently accurately within the finite-dimensional subspace of the dressed states. Using the separation of the time scales between the system and the reservoir, we derive the Markovian quantum master equation in the subspace without ignoring the counter-rotating terms. The temporal evolution of the expectation of the cavity mode shows that the bifurcation of the long-lived state corresponds to the superradiant transition in the isolated model. The master equation explicitly gives the steady state solution. The numerical results for the first-order correlation function on the steady state indicate that the strong atom–cavity coupling enhances the coherence and softens the dephasing in the superradiant region.
AB - We investigate the dynamical properties of the finite-size Dicke model coupled to a photon reservoir in the dispersive regime. The system–reservoir coupling in our Hamiltonian includes counter-rotating terms, which are relevant in the strong atom–cavity coupling. Because the dispersive regime is considered, the dynamics of low-energy states are described sufficiently accurately within the finite-dimensional subspace of the dressed states. Using the separation of the time scales between the system and the reservoir, we derive the Markovian quantum master equation in the subspace without ignoring the counter-rotating terms. The temporal evolution of the expectation of the cavity mode shows that the bifurcation of the long-lived state corresponds to the superradiant transition in the isolated model. The master equation explicitly gives the steady state solution. The numerical results for the first-order correlation function on the steady state indicate that the strong atom–cavity coupling enhances the coherence and softens the dephasing in the superradiant region.
UR - http://www.scopus.com/inward/record.url?scp=85060525312&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85060525312&partnerID=8YFLogxK
U2 - 10.7566/JPSJ.88.024401
DO - 10.7566/JPSJ.88.024401
M3 - Article
VL - 88
JO - Journal of the Physical Society of Japan
T2 - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 2
M1 - 024401
ER -