Fluctuations and photon statistics in a quantum metamaterial near a superradiant transition

Shapiro, D. S.; Rubtsov, A. N.; Remizov, S. V.; Pogosov, W. V.; Lozovik, Yu. E.

doi:10.1103/physreva.99.063821

Cited by 6 publications

(10 citation statements)

References 43 publications

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“…It is well known that the thermal fluctuations can influence the QPT that occurs at zero temperature in principle 1. For instance, the signatures of critical points dramatically change with the variation of β in several systems such as the Dicke model or Ising model 37,61–64. However, as shown in Figure 5, it is remarkable that the local minimum points around

g / g_{normalc} = 1

of the time‐averaged thermal OTOC

{\tilde{scriptF}}_{β}

remains the same, and the capability of

{\tilde{scriptF}}_{β}

in detecting the QPT is independent of β.…”

Section: Resultsmentioning

confidence: 98%

Out‐of‐Time‐Order Correlators and Quantum Phase Transitions in the Rabi and Dicke Models

et al. 2020

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The out-of-time-order correlators (OTOCs) is used to study the quantum phase transitions (QPTs) between the normal phase and the superradiant phase in the Rabi and few-body Dicke models with large frequency ratio of the atomic level splitting to the single-mode electromagnetic radiation field frequency. The focus is on the OTOC thermally averaged with infinite temperature, which is an experimentally feasible quantity. It is shown that the critical points can be identified by long-time averaging of the OTOC via observing its local minimum behavior. More importantly, the scaling laws of the OTOC for QPTs are revealed by studying the experimentally accessible conditions with finite frequency ratio and finite number of atoms in the studied models. The critical exponents extracted from the scaling laws of OTOC indicate that the QPTs in the Rabi and Dicke models belong to the same universality class.

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g / g_{normalc} = 1

of the time‐averaged thermal OTOC

{\tilde{scriptF}}_{β}

remains the same, and the capability of

{\tilde{scriptF}}_{β}

in detecting the QPT is independent of β.…”

Section: Resultsmentioning

confidence: 98%

Out‐of‐Time‐Order Correlators and Quantum Phase Transitions in the Rabi and Dicke Models

et al. 2020

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“…This applies, e.g., to single-electron transistors 48 , to helical electrons scattering 49 , 50 and to multiple Andreev reflection in superconducting junctions 51 . In our optical system, it can be associated with the emergence of positive ( ) and negative ( ) correlations between photons 52 , 53 .…”

Section: Resultsmentioning

confidence: 99%

Transport of pseudothermal photons through an anharmonic cavity

Shapiro

2021

Sci Rep

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Under nonequilibrium conditions, quantum optical systems reveal unusual properties that might be distinct from those in condensed matter. The fundamental reason is that photonic eigenstates can have arbitrary occupation numbers, whereas in electronic systems these are limited by the Pauli principle. Here, we address the steady-state transport of pseudothermal photons between two waveguides connected through a cavity with Bose–Hubbard interaction between photons. One of the waveguides is subjected to a broadband incoherent pumping. We predict a continuous transition between the regimes of Lorentzian and Gaussian chaotic light emitted by the cavity. The rich variety of nonequilibrium transport regimes is revealed by the zero-frequency noise. There are three limiting cases, in which the noise-current relation is characterized by a power-law, $$S\propto J^\gamma$$ S ∝ J γ . The Lorentzian light corresponds to Breit-Wigner-like transmission and $$\gamma =2$$ γ = 2 . The Gaussian regime corresponds to many-body transport with the shot noise ($$\gamma =1$$ γ = 1 ) at large currents; at low currents, however, we find an unconventional exponent $$\gamma =3/2$$ γ = 3 / 2 indicating a nontrivial interplay between multi-photon transitions and incoherent pumping. The nonperturbative solution for photon dephasing is obtained in the framework of the Keldysh field theory and Caldeira-Leggett effective action. These findings might be relevant for experiments on photon blockade in superconducting qubits, thermal states transfer, and photon statistics probing.

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“…It was shown for TCM in Ref. [32] that the Fano factor has a peak and is much greater than unity in the critical region of the phase transition. This indicates for strongly positive correlations between photons; in the superradiant phase there is a reentrance into negative correlations (antibunching effect) with F < 1, see Fig.…”

Section: A Problem Formulationmentioning

confidence: 97%

“…The study of fluctuational behavior for finite-N and -T in RWA was presented in Ref. [32]. In that work relative fluctuations, the Fano factor and full counting statistics of equilibrium photon numbers were calculated.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Universal fluctuations and squeezing in generalized Dicke model near the superradiant phase transition

Shapiro,

Pogosov,

Lozovik

2019

Preprint

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Fluctuations and photon statistics in a quantum metamaterial near a superradiant transition

Cited by 6 publications

References 43 publications

Out‐of‐Time‐Order Correlators and Quantum Phase Transitions in the Rabi and Dicke Models

Out‐of‐Time‐Order Correlators and Quantum Phase Transitions in the Rabi and Dicke Models

Transport of pseudothermal photons through an anharmonic cavity

Universal fluctuations and squeezing in generalized Dicke model near the superradiant phase transition

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