Waveguide quantum electrodynamics in squeezed vacuum

You, Jieyu; Liao, Zeyang; Li, Shengwen; Zubairy, M. Suhail

doi:10.1103/physreva.97.023810

Cited by 21 publications

(8 citation statements)

References 47 publications

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“…In the course of the last few decades, a significant number of theoretical approaches allowing one to tackle the waveguide QED problems within this limit was proposed. In particular, the Markovian waveguide QED systems are commonly examined theoretically with help of master equation based-approaches [1,[22][23][24][25][26][27]. Indeed, within the framework of the associated input-output formalism [1,28,29], Linblad-type equation approaches allow one to study transmission and reflection characteristics, as well as the photonic correlations for arbitrary initial photon states, including coherent, thermal, and Fock ones.…”

Section: Markovian Limit γτmentioning

confidence: 99%

Diagrammatic Approach to Scattering of Multi-Photon States in Waveguide QED

Piasotski,

Pletyukhov

2021

Preprint

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We give an exposure to diagrammatic techniques in waveguide QED systems. A particular emphasis is placed on the systems with delayed coherent quantum feedback. Specifically, we show that the N -photon scattering matrices in single-qubit waveguide QED systems, within the rotating wave approximation, admit for a parametrization in terms of N − 1-photon effective vertex functions and provide a detailed derivation of a closed hierarchy of generalized Bethe-Salpeter equations satisfied by these vertex functions. The advantage of this method is that the above mentioned integral equations hold independently of the number of radiation channels, their bandwidth, the dispersion of the modes they are supporting, and the structure of the radiation-qubit coupling interaction, thus enabling one to study multi-photon scattering problems beyond the Born-Markov approximation. Further, we generalize the diagrammatic techniques to the systems containing more than a single emitter by presenting an exact set of equations governing the generic two and three-photon scattering operators. The above described theoretical machinery is then showcased on the example of a three-photon scattering on a giant acoustic atom, recently studied experimentally [Nat. Phys. 15, 1123Phys. 15, (2019].

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Section: Markovian Limit γτmentioning

confidence: 99%

Diagrammatic Approach to Scattering of Multi-Photon States in Waveguide QED

Piasotski,

Pletyukhov

2021

Preprint

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“…To include the dissipations in this system, we assume that mode a is connected with a heat bath and mode b is in contact with a squeezed vacuum reservoir [84] with the central frequency ω d . In this case, the evolution of the system in the FIG.…”

Section: Model and Hamiltonianmentioning

confidence: 99%

Quantum Simulation of Tunable and Ultrastrong Mixed-Optomechanics

Zhou,

Yin,

Liao

2021

Preprint

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We propose a reliable scheme to simulate tunable and ultrastrong mixed-optomechanical interactions in a coupled two-mode bosonic system, in which the two modes are coupled with each other via a cross-Kerr interaction and one of the two modes is driven through both the single-and two-excitation processes. We show that the mixed optomechanical interaction can enter the single-photon strong-coupling even ultrastrong-coupling regimes. The strengthes of both the first-order and quadratic optomechanical couplings can be controlled on demand, and hence first-order, quadratic, and mixed optomechanical models can be obtained. In particular, the thermal noise of the driven mode can be suppressed totally by introducing a proper squeezed vacuum bath. We also study how to generate the superposition of the coherent squeezed state and vacuum state based on the simulated interactions. The quantum coherence effect in the generated states is characterized by calculating the Wigner function in both the closed-and open-system cases. This work will pave the way to the observation and application of ultrastrong optomechanical effects in quantum simulators.

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“…( 40) reduces to the master equation found through standard methods in Ref. [58] (ξ = |ξ|e −iθ is the squeezing parameter, where θ can include contributions depending on the distance from the source).…”

Section: Examples Of Master Equations and Decoherence-free Hamiltoniansmentioning

confidence: 99%

Collisional picture of quantum optics with giant emitters

Cilluffo,

Carollo,

Lorenzo

et al. 2020

Preprint

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The effective description of the weak interaction between an emitter and a bosonic field as a sequence of two-body collisions provides a simple intuitive picture compared to traditional quantum optics methods as well as an effective calculation tool of the joint emitter-field dynamics. Here, this collisional approach is extended to many emitters (atoms or resonators), each generally interacting with the field at many coupling points ("giant" emitter). In the regime of negligible delays, the unitary describing each collision in particular features a contribution of a chiral origin resulting in an effective Hamiltonian. The picture is applied to derive a Lindblad master equation (ME) of a set of giant atoms coupled to a (generally chiral) waveguide field in an arbitrary white-noise Gaussian state, which condenses into a single equation and extends a variety of quantum optics and waveguide-QED MEs. The effective Hamiltonian and jump operators corresponding to a selected photodetection scheme are also worked out.

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Waveguide quantum electrodynamics in squeezed vacuum

Cited by 21 publications

References 47 publications

Diagrammatic Approach to Scattering of Multi-Photon States in Waveguide QED

Diagrammatic Approach to Scattering of Multi-Photon States in Waveguide QED

Quantum Simulation of Tunable and Ultrastrong Mixed-Optomechanics

Collisional picture of quantum optics with giant emitters

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