Squeezed displaced entangled states in the quantum Rabi model

Maldonado-Villamizar, F. H.; Alderete, C. Huerta; Rodríguez-Lara, B. M.

doi:10.1103/physreva.100.013811

Cited by 16 publications

(10 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[ 95 ] In such a case, the spectral collapse occurs at a critical value of the coupling strength

g = g_{normalt} / 2

. [ 95,99 ] Other nonlinear process, such as quantum Rabi–Stark model, [ 64,100–103 ] can also cause spectrum collapse. [ 101,102 ] As extensions, bias two‐photon QRM [ 104 ] and multiphoton QRM [ 28,98,105,106 ] have also been explored.…”

Section: Quantum States In Polaron Picturementioning

confidence: 99%

Fundamental Models in the Light–Matter Interaction: Quantum Phase Transitions and the Polaron Picture

Liu

Ying

et al. 2021

Adv Quantum Tech

View full text Add to dashboard Cite

The light–matter interaction not only is ubiquitous in nature but also can be simulated in various artificial systems. Besides the tunability of artificial quantum systems, the experimental access to the ultra‐strong and even deep‐strong couplings has brought a regime with novel phenomenology. Theoretically the finding of the integrability for the quantum Rabi model (QRM) has attracted tremendous attention to the study of the QRM and its extensions which are fundamental models of the light–matter interaction. With the continuing enhancements of coupling strengths, a most fascinating phenomenon of these light–matter models is that they can exhibit few‐body quantum phase transitions (QPTs), while a full understanding of these QPTs is a challenge. The polaron picture is a method capable of analyzing these fundamental models in the entire coupling regime and extracting the essential physics behind the QPTs. A review of its extensive applications on the fundamental light–matter models is presented, with discussions on the phase diagrams and QPT‐related features. The universality of critical exponent of the anisotropic QRM as well as the possibility of QPTs in A2 terms are also addressed.

show abstract

“…[ 95 ] In such a case, the spectral collapse occurs at a critical value of the coupling strength

g = g_{normalt} / 2

Section: Quantum States In Polaron Picturementioning

confidence: 99%

Fundamental Models in the Light–Matter Interaction: Quantum Phase Transitions and the Polaron Picture

Liu

Ying

et al. 2021

Adv Quantum Tech

View full text Add to dashboard Cite

show abstract

“…Thus forming a long-lived pair when we move into a dissipative setting. Since their structure is inherited from the two-excitation processes (cat-states are eigenstates of the parity e in and two-photon annihilation â2 operators making them ubiquitous in systems driven by twophoton transitions [41][42][43][44][45]), it can then be expected for low-energy states outside the crossing to mantain this form deep into the strong coupling regime (Sec. IV).…”

Section: A Dressed States At the First Energy Crossingmentioning

confidence: 99%

Probing the spectrum of the Jaynes-Cummings-Rabi model by its isomorphism to an atom inside a parametric amplifier cavity

Gutiérrez-Jáuregui,

Agarwal

2020

Preprint

View full text Add to dashboard Cite

We show how the generalized Jaynes-Cummings-Rabi model of cavity quantum electrodynamics can be realized via an isomorphism to the Hamiltonian of a qubit inside a parametric amplifier cavity. This realization clears the way to observe the full spectrum of the Rabi model via a probe applied to a parametric amplifier cavity containing a qubit and a parametric oscillator operating below threshold. An important outcome of the isomorphism is that the actual frequencies are replaced by detunings which make it feasible to reach the ultra-strong coupling regime. We find that inside this regime the spectrum is characterized by a narrow resonance peak that is traced back to the transition between the ground and first excited states. The exact form of these states is given at an energy crossing and then extended numerically for nearby points. At the crossing, the eigenstates are entangled states of field and atom where the field is found inside squeezed cat-states.

show abstract

“…In the past, we showed that a competition between Hamiltonians with components showing discrete and continuous spectrum produces the spectral collapse in the single-photon quantum Rabi model [21]. There, the collapse occurs from the transition from driven-cavitylike, in the degenerate-qubit regime, into a relativistic (1 + 1)D Dirac-like Hamiltonian, in the relativistic regime.…”

Section: Optical Phase Space Modelmentioning

confidence: 99%

“…An interesting characteristic of the single-photon quantum Rabi model is the spectral collapse that occurs in the so-called relativistic regime [21]. There, we can follow the transition from a discrete spectrum in the so-called degenerate qubit regime where the model is equivalent to a driven cavity and the so-called relativistic regime where the model is equivalent to Dirac equation in (1 + 1)D with continuous spectrum.…”

Section: Introductionmentioning

confidence: 99%

Spectral Collapse in the two-photon quantum Rabi model

Rico,

Maldonado-Villamizar,

Rodriguez-Lara

2019

Preprint

Self Cite

View full text Add to dashboard Cite

Spectral collapse, the transition from discrete to continuous spectrum, is a characteristic in quantum Rabi models. We explore this phenomenon in the two-photon quantum Rabi model in optical phase space and find that, in the so-called degenerate qubit regime, the collapse is similar to that happening in the transition from a quantum harmonic to an inverted quadratic potential with the free-partical potential as transition point. In this regime, it is possible to construct Diracnormalizable eigenfunctions for the model that show well defined parity. In the general model, we use parity to diagonalize the system in the qubit basis and numerically find that the qubit frequency does not change the critical point where spectral collapse occurs.

show abstract

Squeezed displaced entangled states in the quantum Rabi model

Cited by 16 publications

References 54 publications

Fundamental Models in the Light–Matter Interaction: Quantum Phase Transitions and the Polaron Picture

Fundamental Models in the Light–Matter Interaction: Quantum Phase Transitions and the Polaron Picture

Probing the spectrum of the Jaynes-Cummings-Rabi model by its isomorphism to an atom inside a parametric amplifier cavity

Spectral Collapse in the two-photon quantum Rabi model

Contact Info

Product

Resources

About