Reservoir-Mediated Quantum Correlations in Non-Hermitian Optical System

Cao, Wanxia; Lu, Xingda; Meng, Xiangda; Sun, Jian; Shen, Heng; Xiao, Yanhong

doi:10.1103/physrevlett.124.030401

Cited by 44 publications

(34 citation statements)

References 47 publications

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“…Thus, the loss-induced increase in average photon number of the cavities in absence of any coherent drive is a feature possible only in a non-Hermitian system with a gain medium having quantum fluctuations. This feature of the nonequilibrium steady state thereby distinguishes our proposed setup from previous experiments involving gain in classical systems [35][36][37][38][39], as well as the existing experiments in the quantum regime which do not feature a gain medium [60][61][62][63][64][65][66][67][68][69].…”

Section: B Loss-induced Lasing and Amplificationmentioning

confidence: 76%

“…(Note that in other setups loss-induced lasing can occur without any exceptional point [111].) This explicitly requires a gain medium and cannot be observed in the existing experiments in the quantum regime [60][61][62][63][64][65][66][67][68][69], none of which features a gain medium. The real and imaginary parts of the eigenvalues of H eff as a function of κ 2 are plotted in Fig.…”

Section: B Loss-induced Lasing and Amplificationmentioning

confidence: 99%

“…In the quantum domain, realization of systems governed by effective non-Hermitian Hamiltonians and exploration of the effect of exceptional points has only been possible very recently. Quantum non-Hermitian systems have been experimentally realized in linear optical circuits [60,61], quantum photonics [62], ultracold atoms [63,64], a diamond NV center [65], superconducting circuits [66,67], atom-light interacting systems [68], and a lossy quantum point contact [69]. However, all the realizations in the quantum regime are in cases where the overall system is dissipative.…”

Section: Introductionmentioning

confidence: 99%

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Emergent PT symmetry in a double-quantum-dot circuit QED setup

Purkayastha

Kulkarni

Joglekar

2020

Phys. Rev. Research

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Open classical and quantum systems with effective parity-time (PT) symmetry, over the past five years, have shown tremendous promise for advances in lasers, sensing, and nonreciprocal devices. And yet, how such effective PT-symmetric non-Hermitian models emerge out of Hermitian quantum mechanics is not well understood. Here, starting from a fully Hermitian microscopic Hamiltonian description, we show that a non-Hermitian Hamiltonian emerges naturally in a double-quantum-dot (DQD) circuit-QED setup, which can be controllably tuned to the PT-symmetric point. This effective Hamiltonian governs the dynamics of two coupled circuit-QED cavities with a voltage-biased DQD in one of them. Our analysis also reveals the effect of quantum fluctuations on the PT-symmetric system. The PT transition is, then, observed both in the dynamics of cavity observables as well as via an input-output experiment. As a simple application of the PT transition in this setup, we show that loss-induced enhancement of amplification and lasing can be observed in the coupled cavities. By comparing our results with two conventional local Lindblad equations, we demonstrate the utility and limitations of the latter. Our results pave the way for an on-chip realization of a potentially scalable non-Hermitian system with a gain medium in the quantum regime, as well as its potential applications for quantum technology.

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Section: B Loss-induced Lasing and Amplificationmentioning

confidence: 76%

Section: B Loss-induced Lasing and Amplificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Emergent PT symmetry in a double-quantum-dot circuit QED setup

Purkayastha

Kulkarni

Joglekar

2020

Phys. Rev. Research

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“…While their introduction dates back to the early age of quantum mechanics [2], only in recent years it was realized and experimentally confirmed that systems described by NH Hamiltonians can exhibit under suitable conditions a variety of exotic phenomena [3,4]. Among these are: coalescence of eigenstates at exceptional points [5], unconventional geometric phase [6], failure of bulk-edge correspondence [7], critical behavior of quantum correlations around exceptional points [8][9][10], non-Hermitian skin effect [11]. As a typical consequence, traditional tenets of Physics such as the Bloch theory of bands and even the very notion of "bulk" may require a non-trivial revision in the non-Hermitian realm [12].…”

Section: Introductionmentioning

confidence: 99%

Exotic interactions mediated by a non-Hermitian photonic bath

Roccati,

Lorenzo,

Calajò

et al. 2021

Preprint

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We study the exotic interaction between emitters mediated by the photonic modes of a lossy photonic lattice described by a non-Hermitian Hamiltonian. We show in a paradigmatic case study that structured losses in the field can seed exotic emission properties. Photons can mediate dissipative, fully non-reciprocal, interactions between the emitters with range critically dependent on the loss rate. When this loss rate corresponds to a bare-lattice exceptional point, the effective couplings are exactly nearest-neighbour, implementing a dissipative, fully non-reciprocal, Hatano-Nelson model. Counter-intuitively, this occurs irrespective of the lattice boundary conditions. Thus photons can mediate an effective emitters' Hamiltonian which is translationally-invariant despite the fact that the field is not. We interpret these effects in terms of metastable atom-photon dressed states, which can be exactly localized on only two lattice cells or extended across the entire lattice.

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“…On the contrary, APT symmetry does not need gain but can still exhibit EP with entirely imaginary eigenvalues in the symmetric phase (see Fig. 1(a)) [9], which has been extensively explored both in experiments [10,[17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33] and in theories . This striking difference provides us a variety of novel opportunities to explore APT effects in atomic systems [10,17], photonic or magnonic devices [18][19][20][21][22], and thermal structures [23,24].…”

Section: Introductionmentioning

confidence: 99%

Anti-$\mathcal{PT}$-symmetric Kerr gyroscope

Zhang,

Peng,

et al. 2021

Preprint

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Non-Hermitian systems can exhibit unconventional spectral singularities called exceptional points (EPs). Various EP sensors have been fabricated in recent years, showing strong spectral responses to external signals. Here we propose how to achieve a nonlinear anti-parity-time (APT ) gyroscope by spinning an optical resonator. We show that, in the absence of any nonlinearity, the sensitivity or optical mode splitting of the linear device can be magnified up to 3 orders than that of the conventional device without EPs. Remarkably, the APT symmetry can be broken when including the Kerr nonlinearity of the materials and, as the result, the detection threshold can be significantly lowered, i.e., much weaker rotations which are well beyond the ability of a linear gyroscope can now be detected with the nonlinear device. Our work shows the powerful ability of APT gyroscopes in practice to achieve ultrasensitive rotation measurement.

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Reservoir-Mediated Quantum Correlations in Non-Hermitian Optical System

Cited by 44 publications

References 47 publications

Emergent PT symmetry in a double-quantum-dot circuit QED setup

Emergent PT symmetry in a double-quantum-dot circuit QED setup

Exotic interactions mediated by a non-Hermitian photonic bath

Anti-$\mathcal{PT}$-symmetric Kerr gyroscope

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