Thermodynamic properties of the Dicke model in the strong-coupling regime

Liberti, Giuseppe Di; Zaffino, Rosa Letizia

doi:10.1140/epjb/e2005-00153-0

Cited by 17 publications

(30 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There have been many discussions about the similarity between the LMG model and the Dicke model near their critical points [67][68][69][70][71] and also some debates about it [72,73]. We note that all these discussions are for quantities that are given under one Hamiltonian only, such as entanglement and critical exponents.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Decay of quantum Loschmidt echo and fidelity in the broken phase of the Lipkin-Meshkov-Glick model

Wang

Yang

et al. 2015

Phys. Rev. A

View full text Add to dashboard Cite

Analytical expressions are derived for the fidelity and for the quantum Loschmidt echo in the broken phase of the Lipkin-Meshkov-Glick (LMG) model for large particle number N. A detailed comparison is given between this model and some other models for the decaying behaviors of the two quantities in the neighborhood of critical points. The two quantities show qualitatively different decaying behaviors on the two sides of the critical point. Specifically, in the broken phase they behave in a way similar to those in models such as the one-dimensional Ising chain in a transverse field. In contrast, in the symmetric phase, the similarity is to those in models such as the Dicke model.

show abstract

Section: Conclusion and Discussionmentioning

confidence: 99%

Decay of quantum Loschmidt echo and fidelity in the broken phase of the Lipkin-Meshkov-Glick model

Wang

Yang

et al. 2015

Phys. Rev. A

View full text Add to dashboard Cite

show abstract

“…At zero temperature, the normal-superradiant transition happens when λ = λ c = √ ωω 0 /2. For finite temperature, the critical temperature is decided by the relation [43] …”

Section: Exemplification: Phase Transition In the Dicke Modelmentioning

confidence: 99%

“…In Ref. [43], z has been obtained analytically 27) and the critical temperature is determined by Eq.(12). For ω = ω 0 , it is reduced to T c = 2λ 2 /k B ω 0 .…”

Section: B Finite Temperaturementioning

confidence: 99%

See 1 more Smart Citation

Overlap of quantum many-body states with a separable state and phase transitions in the Dicke model: Zero and finite temperature

Cui

2010

Phys. Rev. A

View full text Add to dashboard Cite

Overlap with the separable state is introduced in this paper for the purpose of characterizing the overall correlation in many-body systems. This definition has clear geometric and physical meaning, and moreover can be considered as the generalization of the concept-Anderson Orthogonality Catastrophe. As an exemplification, it is used to mark the phase transition in the Dicke model for zero and finite temperature. And our discussion shows that it can faithfully reflect the phase transition properties of this model whether for zero or finite temperature. Furthermore the overlap for ground state also indicates the appearance of multipartite entanglement in Dicke model.

show abstract

“…So that a perturbative expansion of partition function and a simple analytic solution is found for high coupling constant has been developed 6 . Furthermore, the thermodynamic properties of the Dicke Hamiltonian have been treated 7 , in the framework of an approximate model, through a perturbative expansion of partition function. The Dicke QPT have been presented from the normal to the superradiant phase corresponds to the self-organization of atoms from the homogeneous into a periodically patterned distribution 8 .…”

Section: Introductionmentioning

confidence: 99%

Enhancing quantum phase transitions in the critical point of Extended TC-Dicke model via Stark effect

Salah

Abdel-Rady

Osman

et al. 2018

Sci Rep

View full text Add to dashboard Cite

A system of N two-level atoms, Tavis-Cummings Dicke (TC-Dicke) model, interacting with a one-mode electromagnetic radiation field in the presence of the Stark shifts is studied, which is expected to predict new phenomena that are not explored in the original TC-Dicke model. We obtained the potential energy surface of the system using a trial state the direct product of coherent states in each subspace. In the frame of mean-field approaches, the variational energy is evaluated as the expectation value of the Hamiltonian for this state. The order of the quantum phase transitions is determined explicitly and numerically. We estimate the ground-state energy and the macroscopic excitations in the superradiant phase. Moreover, we investigated the critical properties of the TC-Dicke model in the classical spin limit and coherent state. We observed that in the thermodynamic limit, the energy surface takes a simple form a direct description of the phase transition. Moreover, it is found that when the microwave amplitude changes the new phase transition occurs with the Stark shift. The analytical solutions and numerical results, which appear in this paper are agreement with our paper which published recently in Int. J. Mod. Phys. B when we studied the same model using a different coherent state.

show abstract

Thermodynamic properties of the Dicke model in the strong-coupling regime

Cited by 17 publications

References 33 publications

Decay of quantum Loschmidt echo and fidelity in the broken phase of the Lipkin-Meshkov-Glick model

Decay of quantum Loschmidt echo and fidelity in the broken phase of the Lipkin-Meshkov-Glick model

Overlap of quantum many-body states with a separable state and phase transitions in the Dicke model: Zero and finite temperature

Enhancing quantum phase transitions in the critical point of Extended TC-Dicke model via Stark effect

Contact Info

Product

Resources

About