Fluctuations and entropy in models of quantum optical resonance

Phoenix, Simon J. D.; Knight, Peter

doi:10.1016/0003-4916(88)90006-1

Cited by 450 publications

(264 citation statements)

References 15 publications

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“…5. This behavior is typical of the simple JCM [17] [18]. At this stage S m +S f > S mf ; in Subsection C) we attribute the excess entropy to entanglement.…”

Section: A Transient Behaviormentioning

confidence: 61%

“…The accuracy of the solution was checked by decreasing the step size. Furthermore, in order to test whether the numerical solution captures all time scales (especially the rapid oscillations), the algorithm was tested on the simple JCM [16] which can be solved analytically [17] [18]. In all plots presented here Γ 02 = Γ 01 = Γ = 0.001, λ = 1, n 02 = 0.1, n 01 = 10, and quantities are given in atomic units.…”

Section: The Ed-jcm As a Quantum Amplifiermentioning

confidence: 99%

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Thermodynamic analysis of quantum light amplification

Boukobza

Tannor

2006

Phys. Rev. A

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Thermodynamics of a three-level maser was studied in the pioneering work of Scovil and SchulzDuBois [Phys. Rev. Lett. 2, 262 (1959)]. In this work we consider the same three-level model, but treat both the matter and light quantum mechanically. Specifically, we analyze an extended (three-level) dissipative Jaynes-Cummings model (ED-JCM) within the framework of a quantum heat engine, using novel formulas for heat flux and power in bipartite systems introduced in our previous work [E. Boukobza and D. J. Tannor, PRA (in press)]. Amplification of the selected cavity mode occurs even in this simple model, as seen by a positive steady state power. However, initial field coherence is lost, as seen by the decaying off-diagonal field density matrix elements, and by the Husimi-Kano Q function. We show that after an initial transient time the field's entropy rises linearly during the operation of the engine, which we attribute to the dissipative nature of the evolution and not to matter-field entanglement. We show that the second law of thermodynamics is satisfied in two formulations (Clausius, Carnot) and that the efficiency of the ED-JCM heat engine agrees with that defined intuitively by Scovil and Schulz-DuBois. Finally, we compare the steady state heat flux and power of the fully quantum model with the semiclassical counterpart of the ED-JCM, and derive the engine efficiency formula of Scovil and Schulz-DuBois analytically from fundamental thermodynamic fluxes.

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“…5. This behavior is typical of the simple JCM [17] [18]. At this stage S m +S f > S mf ; in Subsection C) we attribute the excess entropy to entanglement.…”

Section: A Transient Behaviormentioning

confidence: 61%

Section: The Ed-jcm As a Quantum Amplifiermentioning

confidence: 99%

Thermodynamic analysis of quantum light amplification

Boukobza

Tannor

2006

Phys. Rev. A

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“…IV on the entropy of Ref. [29] concerning the RWA Hamiltonian), the initial condition with the oscillator in the coherent state supplemented by the RWA can generate some degree of irreversibility. This is due to the fact that the dynamics of the system depends on an infinite number of eigenstates of the oscillator with incommensurate frequencies [29], and this is reflected in a overa11 increase of the entropy of the oscillator system.…”

Section: H= -mentioning

confidence: 99%

“…6] is given by an interesting quantummechanica1 property recently discovered by Eiselt and Risken [31]. The Eiselt-Risk en effect is a quantum phenomenon associated with the wel1-known quantum effect of collapses and revivals [29]. The collapse process is shown [32] to correspond to a splitting of the quantum cloud into two distinct clouds.…”

Section: H= -mentioning

confidence: 99%

Semiclassical chaos, the uncertainty principle, and quantum dissipation

et al. 1992

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Using the %igner method, it is shown that a classical-like equation of motion for a quasiprobability distribution ptr can be built up, Bpg /Br =(E"+EQon )ps/ which is rigorously equivalent to the quantum von Neumann-Liouville equation. The operator E,& is equivalent to integrating classical trajectories, which are then averaged over an initial distribution, broadened so as to fulfill the requirements of the quantum uncertainty principle. It is shown that this operator produces semiclassical chaos and is responsible for quantum irreversibility and the fast growth of quantum uncertainty. Carrying out explicit calculations for a spin-boson Hamiltonian, the joint action of f"and EQon is illustrated. It is shown that the latter operator Zoon (where QGD stands for quantum generating diffusion), makes the -'-spin system "remember" its quantum nature, and competes with the irreversibility induced by the former operator. Some ambiguous aspects of "irreversibility" and "growth of quantum fluctuations" as indicators of semiclassical chaos are discussed. PACS number(s): 05.45. +b

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“…The reduced entropy of the field and the atom have been introduced in [35,36]. It has been shown that the reduced entropy is very useful and sensitive measure of the purity of the quantum state, because it includes all the moments of the density operator.…”

Section: Von Neumman Entropymentioning

confidence: 99%