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Analytical Solution of the Quantum Master Equation for the Jaynes–Cummings Model
摘要: The article considers the dynamics of resonator photon occupancy (the probability of finding a photon in the resonator), atom excitation, and sink photon occupancy when a single photon escapes into the sink from an optical resonator populated by an atom in the ground and excited states. The photon-occupancy dynamics of the cavity is investigated using the Lindblad equation.
关键词: density matrix,Jaynes–Cummings model,Lindblad equation
更新于2025-09-23 15:22:29
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Output field squeezing in a weakly-driven dissipative quantum Rabi model
摘要: We present a generalized method to address the squeezing spectrum of the output field for a weakly-driven, dissipative quantum Rabi model and calculate it for a range of coupling strengths covering strong, ultra-strong and deep-strong coupling regimes. The need for a generalization arises because of the periodic time dependence of the correlation functions due to counterrotating terms in the quantum Rabi model. We here adopt time-averaging over such correlation functions to obtain the squeezing spectrum, which may also be relevant to experimental situations. We compare the calculated squeezing spectra with those of the driven dissipative Jaynes-Cummings model to illustrate the departure from the latter as the interaction strength increases. Our calculation shows that the overall squeezing increases with the interaction strength after optimization over the system-bath coupling strength and the driving field strength.
关键词: Quantum Rabi model,Jaynes-Cummings model,Spectrum of squeezing
更新于2025-09-23 15:21:21
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Field Squeezing in a Quantum-Dot Molecule Jaynes-Cummings Model
摘要: We investigate the field squeezing in a system composed of an initial coherent field interacting with two quantum dots coupled by electron tunneling. An approximate quantum-dot molecule Jaynes-Cummings model describing the system is given, and the effects of physical quantities, such as the temperature, phonon-electron interaction, mean photon number, field detuning, and tunneling-level detuning, are discussed in detail.
关键词: Jaynes-Cummings model,phonon-electron interaction,electron tunneling,quantum-dot molecule,field squeezing
更新于2025-09-23 15:19:57
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Gauge ambiguities imply Jaynes-Cummings physics remains valid in ultrastrong coupling QED
摘要: Ultrastrong-coupling between two-level systems and radiation is important for both fundamental and applied quantum electrodynamics (QED). Such regimes are identified by the breakdown of the rotating-wave approximation, which applied to the quantum Rabi model (QRM) yields the apparently less fundamental Jaynes-Cummings model (JCM). We show that when truncating the material system to two levels, each gauge gives a different description whose predictions vary significantly for ultrastrong-coupling. QRMs are obtained through specific gauge choices, but so too is a JCM without needing the rotating-wave approximation. Analysing a circuit QED setup, we find that this JCM provides more accurate predictions than the QRM for the ground state, and often for the first excited state as well. Thus, Jaynes-Cummings physics is not restricted to light-matter coupling below the ultrastrong limit. Among the many implications is that the system's ground state is not necessarily highly entangled, which is usually considered a hallmark of ultrastrong-coupling.
关键词: quantum Rabi model,circuit QED,gauge invariance,Jaynes-Cummings model,ultrastrong coupling,quantum electrodynamics
更新于2025-09-19 17:15:36
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Enhancing entanglement of entangled coherent states via a f-deformed photon-addition operation
摘要: In this paper, we introduce a new kind of photon-added entangled coherent states (PA-ECSs), by performing repeatedly a f -deformed photon-addition (DPA) operation, A? = f (?n)a?, on each mode of the entangled coherent states (ECSs), |Ψ±(α)(cid:3). By choosing a particular deformation function f (?n), we study how the entanglement properties can be enhanced by DPA operation. As a result, we show that both the single and two-mode DPA operation can be used to improve the entanglement of |Ψ+(α)(cid:3), where the e?ects of improvement by two-mode DPA operation are more prominent than those by single-mode DPA operation, in any amplitude regime. Moreover, our results show there exists a family of coherent amplitudes |α| such that the two-mode DPA operation preserves the maximal entanglement of the odd ECSs |Ψ?(α)(cid:3), where the non-deformed photon-addition operation a? suppresses the entanglement amount. Finally, a theoretical scheme for the physical generation of the introduced states based on a Jaynes-Cummings model with intensity-dependent couplings is proposed.
关键词: entangled coherent states,entanglement enhancement,Jaynes-Cummings model,f-deformed,photon-addition
更新于2025-09-12 10:27:22
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Generation of sustained optimal entropy squeezing of a two-level atom via non-Hermitian operation
摘要: We investigate the entropy squeezing of a two-level atom in the Jaynes–Cummings model, and provide a scheme to generate the sustained optimal entropy squeezing of the atom via non-Hermitian operation. Our results show that the squeezing degree and the persistence time of entropy squeezing of atomic polarization components greatly depend on the non-Hermiticity intensity in non-Hermitian operation. Especially, under a proper choice of non-Hermiticity parameters, the sustained optimal entropy squeezing of the atom can be generated even though the atom is initially prepared in a no entropy squeezing state.
关键词: Jaynes–Cummings model,entropy squeezing,non-Hermitian dynamics,quantum optics
更新于2025-09-09 09:28:46
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Time ordering in the classically driven nonlinear Jaynes-Cummings model
摘要: Recently [F. Krumm and W. Vogel, Phys. Rev. A 97, 043806 (2018)], the detuned and nonlinear Jaynes-Cummings model describing the quantized motion of a trapped ion was introduced and its corresponding dynamics was solved via considering the driving laser in a quantized manner. For the dynamics with a classical driving laser an approximation in terms of neglected time ordering was considered to obtain analytical expressions and compared to numerically obtained exact dynamics, which revealed the insufficiency of this approximation. In the present work we reconsider this model and show that it can likewise be solved analytically, i.e., including time ordering, with a classical driving laser field. Using the analytical solution, we investigate the quantum time-ordering effects of the system with respect to nonclassicality and nonsimulatability of the motional states of the ion. Furthermore, we use the Magnus expansion to analyze the impact of certain orders of the time ordering. We derive an exact radius of convergence for these time-ordering corrections beyond the established and only sufficient criterion. Finally, the differences between the solution derived here and the previously found one using a quantized pump are discussed.
关键词: trapped ion,Jaynes-Cummings model,quantized motion,time ordering,nonsimulatability,nonclassicality,Magnus expansion
更新于2025-09-04 15:30:14