Coherence and catalysis in the Jaynes–Cummings model

Messinger, Anette; Ritboon, Atirach; Crimin, Frances; Croke, Sarah; Barnett, Stephen M.

doi:10.1088/1367-2630/ab7607

Cited by 16 publications

(10 citation statements)

References 59 publications

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“…Expression (22) evidences the appearance of coherences in the H S basis in the system's equilibrium state τ MF . Coherences are often considered a quantum 'resource' 89 , and beyond their significance in quantum thermodynamics 55,[90][91][92][93][94] , play an important role in some biological processes [95][96][97][98][99] .…”

Section: E Expansion Of τ Mf For Small Coupling Constant λmentioning

confidence: 99%

Open quantum system dynamics and the mean force Gibbs state

Trushechkin,

Merkli,

Cresser

et al. 2021

Preprint

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The dynamical convergence of a system to the thermal distribution, or Gibbs state, is a standard assumption across all of the physical sciences. The Gibbs state is determined just by temperature and the system's energies alone. But at decreasing system sizes, i.e. for nanoscale and quantum systems, the interaction with their environments is not negligible. The question then arises: Is the system's steady state still the Gibbs state? And if not, how may the steady state depend on the interaction details? Here we provide an overview of recent progress on answering these questions. We expand on the state-of-the-art along two general avenues: First we take the static point-of-view which postulates the so-called mean force Gibbs state. This view is commonly adopted in the field of strong coupling thermodynamics, where modified laws of thermodynamics and non-equilibrium fluctuation relations are established on the basis of this modified state. Second, we take the dynamical point-of-view, originating from the field of open quantum systems, which examines the time-asymptotic steady state within two paradigms. We describe the mathematical paradigm which proves return to equilibrium, i.e. convergence to the mean force Gibbs state, and then discuss a number of microscopic physical methods, particularly master equations. We conclude with a summary of established links between statics and equilibration dynamics, and provide an extensive list of open problems. This comprehensive overview will be of interest to researchers in the wider fields of quantum thermodynamics, open quantum systems, mesoscopic physics, statistical physics and quantum optics, and will find applications whenever energy is exchanged on the nanoscale, from quantum chemistry and biology, to magnetism and nanoscale heat management.

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Section: E Expansion Of τ Mf For Small Coupling Constant λmentioning

confidence: 99%

Open quantum system dynamics and the mean force Gibbs state

Trushechkin,

Merkli,

Cresser

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…This is significant because coherences are often viewed as an indication of the quantumness of a system and considered a quantum "resource" [27]. Beyond quantum thermodynamics [26,[28][29][30][31][32], coherences play an important role in some biological processes [33][34][35][36][37], and may also affect a material's magnetization behavior [38]. But beyond a few limited examples, the explicit evaluation of the reduced state ρ S has generally proven intractable.…”

mentioning

confidence: 99%

Weak and Ultrastrong Coupling Limits of the Quantum Mean Force Gibbs State

Cresser

Anders

2021

Phys. Rev. Lett.

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The Gibbs state is widely taken to be the equilibrium state of a system in contact with an environment at temperature T. However, non-negligible interactions between system and environment can give rise to an altered state. Here, we derive general expressions for this mean force Gibbs state, valid for any system that interacts with a bosonic reservoir. First, we derive the state in the weak coupling limit and find that, in general, it maintains coherences with respect to the bare system Hamiltonian. Second, we develop a new expansion method suited to investigate the ultrastrong coupling regime. This allows us to derive the explicit form for the mean force Gibbs state, and we find that it becomes diagonal in the basis set by the systemreservoir interaction instead of the system Hamiltonian. Several examples are discussed including a single qubit, a three-level V-system, and two coupled qubits all interacting with bosonic reservoirs. The results shed light on the presence of coherences in the strong coupling regime, and provide key tools for nanoscale thermodynamics investigations.

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“…For instance, it plays a significant role in the generation of engineered quantum states [16], and the study of non-Markovian evolution [17]. In fact, it is a convenient toy model-which has recently been generalized from different perspectives [18][19][20][21]-often employed as a testbed to study various quantum effects, such as generation of Schrödinger-cat states [22], entanglement protection [23], catalysis [24], multiphoton blockade [25], fractional revivals [26], quantum state engineering [27], strong squeezing [28], entanglement generation [29], state discrimination [30].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of single-mode nonclassicalities and quantum correlations in the Jaynes-Cummings model

Akella,

Thapliyal,

Mani

et al. 2022

Preprint

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Dynamics of atom-field correlations and single-mode nonclassicalities present in the resonant Jaynes-Cummings model are investigated using negativity and entanglement potential for a set of initial states. The study has revealed the interplay between three different types of nonclassicality present in the model and established that the nonclassicality is continuously exchanged between the field and atom through the atom-field correlations. Further, it is observed that the entanglement potential does not capture all the single-mode nonclassicality and there exists some residual nonclassicality in the reduced single-mode states at the output of the beam splitter which is not captured by the entanglement in which single-mode nonclassicality is quantitatively mapped in Asboth's criterion. Additional layers of beam splitters are added to deplete all the nonclassicality and to reveal that almost all the residual nonclassicality is captured with three layers of beam splitters. Further, the reduced states of the atom and field have zero (non-zero) quantum coherence in the Fock basis when the atom-field correlations are maximum if the field (or atom) has zero (non-zero) quantum coherence initially.

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Coherence and catalysis in the Jaynes–Cummings model

Cited by 16 publications

References 59 publications

Open quantum system dynamics and the mean force Gibbs state

Open quantum system dynamics and the mean force Gibbs state

Weak and Ultrastrong Coupling Limits of the Quantum Mean Force Gibbs State

Dynamics of single-mode nonclassicalities and quantum correlations in the Jaynes-Cummings model

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