Functional Methods in Quantum Optics

Popov, V. N.; Yarunin, V. S.

doi:10.1142/9789814368421_0002

Cited by 3 publications

(2 citation statements)

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“…The use of the path integral approach for the computation of the thermodynamical properties of these models was advocated by Popov and collaborators [20][21][22][23][24] and produces results which are consistent with those obtained by other techniques in a very efficient way. The path integral formalism provides in particular a simple method to compute the spectrum of the system under consideration in either of its phases using the semiclassical expansion of the partition function [22,25].…”

Section: Introductionmentioning

confidence: 70%

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A path integral approach to the full Dicke model with dipole–dipole interaction

Alcalde¹,

Stephany²,

Svaiter³

2011

J. Phys. A: Math. Theor.

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We consider the full Dicke spin-boson model composed by a single bosonic mode and an ensemble of N identical two-level atoms with different couplings for the resonant and anti-resonant interaction terms, and incorporate a dipole–dipole interaction between the atoms. Assuming that the system is in thermal equilibrium with a reservoir at temperature β−1, we compute the free energy in the thermodynamic limit N → ∞ in the saddle-point approximation to the path integral and determine the critical temperature for the super-radiant phase transition. In the zero temperature limit, we recover the critical coupling of the quantum phase transition, presented in the literature.

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Section: Introductionmentioning

confidence: 70%

“…where we used that odd powers of R are traceless. From this procedure we recover (23). Substituting equations ( 21) and ( 23) in equation ( 14), we have…”

Section: The Partition Function In the Path Integral Approachmentioning

confidence: 99%

A path integral approach to the full Dicke model with dipole–dipole interaction

Alcalde¹,

Stephany²,

Svaiter³

2011

J. Phys. A: Math. Theor.

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Works of Victor Nikolaevich Popov

1998

J Math Sci

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We demonstrate in detail how the space of two-dimensional quantum field theories can be parametrized by off-shell states of free closed string moving in a flat background. The dynamic equation corresponding to the condition of conformal invariance includes an infinite number of higher order terms, and we give an explicit procedure for their calculation. The symmetries corresponding to equivalence relations of theories are described. In this framework we show how to perform a nonperturbative analysis in the low-energy limit and prove that it corresponds to the Brans-Dicke theory of gravity interacting with a skew symmetric tensor field.

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Electron-phonon optical resonance and vibrational chaos in molecules

Yarunin

1993

Physica A: Statistical Mechanics and its Applications

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Functional Methods in Quantum Optics

Cited by 3 publications

References 0 publications

A path integral approach to the full Dicke model with dipole–dipole interaction

A path integral approach to the full Dicke model with dipole–dipole interaction

Works of Victor Nikolaevich Popov

Electron-phonon optical resonance and vibrational chaos in molecules

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