Observation of slowly decaying eigenmodes without exceptional points in Floquet dissipative synthetic circuits

León‐Montiel, Roberto de J.; Quiroz-Juárez, Mario A.; Domínguez-Juárez, Jorge Luis; Quintero-Torres, Rafael; Aragón, J. L.; Harter, Andrew K.; Joglekar, Yogesh N.

doi:10.1038/s42005-018-0087-3

Cited by 45 publications

(56 citation statements)

References 59 publications

(86 reference statements)

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“…To detect the order of the EP in an experimentally friendly manner [37], we consider the behavior of the intensity I(z) within the N -photon subspace as a function of the propagation distance z, or equivalently, the time. In general, when the lossy beamsplitter is excited with an N -photon input, the number-resolving detectors at the output will register any of the (N + 1)(N + 2)/2 possibilities |p a |q b where 0 ≤ p, q ≤ N with p + q ≤ N .…”

Section: Lossy Beamsplitter In the Photon-number Basismentioning

confidence: 99%

Exceptional points of any order in a single, lossy waveguide beam splitter by photon-number-resolved detection

et al. 2019

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Exceptional points (EPs) are degeneracies of non-Hermitian operators where, in addition to the eigenvalues, corresponding eigenmodes become degenerate. Classical and quantum photonic systems with EPs have attracted tremendous attention due to their unusual properties, topological features, and an enhanced sensitivity that depends on the order of the EP, i.e. the number of degenerate eigenmodes. Yet, experimentally engineering higher-order EPs in classical or quantum domains remains an open challenge due to the stringent symmetry constraints that are required for the coalescence of multiple eigenmodes. Here we analytically show that the number-resolved dynamics of a single, lossy, waveguide beamsplitter, excited by N indistinguishable photons and post-selected to the N -photon subspace, will exhibit an EP of order N + 1. By using the well-established mapping between a beamsplitter Hamiltonian and the perfect state transfer model in the photon-number space, we analytically obtain the time evolution of a general N -photon state, and numerically simulate the system's evolution in the post-selected manifold. Our results pave the way towards realizing robust, arbitrary-order EPs on demand in a single device.

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Section: Lossy Beamsplitter In the Photon-number Basismentioning

confidence: 99%

Exceptional points of any order in a single, lossy waveguide beam splitter by photon-number-resolved detection

et al. 2019

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“…The subject of non-Hermitian, PT -symmetric Hamiltonians and their exceptional point degeneracies has evolved into a rich and active field. In the classical domain, effective non-Hermitian systems have been theoretically and experimentally studied in waveguides [6,7], fiber loops [8], resonators [9,10], electrical circuits [11][12][13][14][15], mechanical oscillators [16,17], viscous fluids [18], magnonics [19][20][21], acoustics [22][23][24], optomechanics [25,26], and optical lattices [27]. Occurrence of exceptional points has been used in device applications like sensing [23,24,[28][29][30], single-mode lasing [31], unidirectional invisibility [32], loss-induced transparency [33], loss-induced lasing [34], etc.…”

Section: Introductionmentioning

confidence: 99%

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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“…where σ x , σ z are standard Pauli matrices and Γ = (γ a − γ b )/4. It follows that the decay rates of the two eigenmodes ofĤ L are equal (PT -symmetric phase) for |Γ| < g, they reach the maximum at |Γ| = g, and a slowly decaying eigenmode emerges for |Γ| > g [10,12,[29][30][31].…”

Section: A Optomechanical State-transfer Protocolmentioning

confidence: 99%

$${\mathscr{PT}}$$ -symmetry from Lindblad dynamics in a linearized optomechanical system

Ávila

Ventura-Velázquez

León‐Montiel

et al. 2020

Sci Rep

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The optomechanical state transfer protocol provides effective, lossy, quantum beam-splitter-like dynamics where the strength of the coupling between the electromagnetic and mechanical modes is controlled by the optical steady-state amplitude. By restricting to a subspace with no losses, we argue that the transition from mode-hybridization in the strong coupling regime to the dampeddynamics in the weak coupling regime, is a signature of the passive parity-time (PT ) symmetry breaking transition in the underlying non-Hermitian quantum dimer. We compare the dynamics generated by the quantum open system (Langevin or Lindblad) approach to that of the PTsymmetric Hamiltonian, to characterize the cases where the two are identical. Additionally, we numerically explore the evolution of separable and correlated number states at zero temperature as well as thermal initial state evolution at room temperature. Our results provide a pathway for realizing non-Hermitian Hamiltonians in optomechanical systems at a quantum level.

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Observation of slowly decaying eigenmodes without exceptional points in Floquet dissipative synthetic circuits

Cited by 45 publications

References 59 publications

Exceptional points of any order in a single, lossy waveguide beam splitter by photon-number-resolved detection

Exceptional points of any order in a single, lossy waveguide beam splitter by photon-number-resolved detection

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

$${\mathscr{PT}}$$ -symmetry from Lindblad dynamics in a linearized optomechanical system

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