Quantum motional state tomography with nonquadratic potentials and neural networks

Weiß, Talitha; Romero‐Isart, Oriol

doi:10.1103/physrevresearch.1.033157

Cited by 25 publications

(19 citation statements)

References 50 publications

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“…6(b), the band E K,+ tends to be flattened around the edges of the Brillouin zone, an indication of the band becoming nonlinear as the quadratic contribution is 013726-7 canceled, i.e., E K,+ | K=π ∼ (K − π ) 4 . Such quartic minima are well known in the literature, as particle dynamics generated by nonquadratic Hamiltonians display strongly non-Gaussian dynamics [73]. Our results thus evidence that the qubit motion could represent an additional asset for band engineering in wQED systems.…”

Section: Energies Of the Bound States: Exotic Dispersion Relationssupporting

confidence: 71%

Theory of waveguide QED with moving emitters

2020

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We theoretically study a system composed of a waveguide and a quantum emitter moving in a one-dimensional potential along the waveguide axis. We focus on the single-excitation subspace and treat the emitter motional degrees of freedom fully quantum mechanically. We first characterize single-photon scattering off a single moving quantum emitter, showing both direction-dependent transmission and recoil-induced reduction of the quantum emitter motional energy. We then characterize the bound states within the band gap, which display a motion-induced asymmetric phase in real space. We also demonstrate how these bound states form a continuous band with exotic dispersion relations. Finally, we study the spontaneous emission of an initially excited quantum emitter with various initial momentum distributions, finding strong deviations with respect to the static emitter counterpart both in the occupation dynamics and in the spatial distribution of the emitted photons. Our work extends the waveguide-QED toolbox by including the quantum motional degrees of freedom of emitters, whose impact on the few-photon dynamics could be harnessed for quantum technologies.

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Section: Energies Of the Bound States: Exotic Dispersion Relationssupporting

confidence: 71%

Theory of waveguide QED with moving emitters

2020

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“…Several theoretical works have proposed and analyzed these ideas and have determined the requirements to prevent the detrimental action of decoherence from the environment [121][122][123][124]126]. After the achievement of motional ground-state cooling [50,51,60], the next steps consist of reaching the low decoherence level required for unitary expansion of the wave function and devising detection schemes to certify the successful preparation of a macroscopic superposition [160].…”

Section: Future Research Directionsmentioning

confidence: 99%

Levitodynamics: Levitation and control of microscopic objects in vacuum

Gonzalez-Ballestero,

Aspelmeyer,

Novotny

et al. 2021

Preprint

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The control of levitated nano-and micro-objects in vacuum is of considerable interest, capitalizing on the scientific achievements in the fields of atomic physics, control theory and optomechanics. The ability to couple the motion of levitated systems to internal degrees of freedom, as well as to external forces and systems, provides opportunities for science and technology. Attractive research directions, ranging from fundamental quantum physics to commercial sensors, have been unlocked by the many recent experimental achievements, including motional ground-state cooling of an optically levitated nanoparticle. We review the status, challenges and prospects of levitodynamics, the mutidisciplinary research devoted to understanding, controlling, and using levitated nano-and micro-objects in vacuum.

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“…Many of these applications and others envisaged for the future hinge on a non-linear coupling of the mechanical motion to the light [34][35][36][37][38][39][40]. Designing devices with ever larger non-linear coupling strengths, is hence an intensively pursued activity in the field [41][42][43][44]. Here, we demonstrate that a strong quartic opto-mechanical interaction also benefits engineering light-controlled nonlinear potentials for a one-dimensional harmonic oscillator, which then becomes a useful platform to explore quantum chaos [45].…”

Section: Introductionmentioning

confidence: 99%

Dynamical tunnelling of a Nano-mechanical Oscillator

Jangid,

Chauhan,

Wüster

2020

Preprint

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The study of the quantum to classical transition is of fundamental as well as technological importance, and focusses on mesoscopic devices, with a size for which either classical physics or quantum physics can be brought to dominate. A particularly diverse selection of such devices is available in cavity quantum-optomechanics. We show that these can be leveraged for the study of dynamicaltunnelling in a quantum chaotic system. This effect probes the quantum to classical transition deeply, since tunnelling rates sensitively depend on the ability of the quantum system to resolve the underlying classical phase space. We show that the effective Planck's constant, which determines this phase space resolution, can be varied over orders of magnitude as a function of tunable parameters in an opto-mechanical experiment. Specifically, we consider a membrane-in-the-middle configuration of a mechanical oscillator within an optical cavity, where the intracavity field is modulated periodically by the external laser source. We demonstrate that a mixed regular and chaotic phase space can be engineered in one spatial dimension, through a significant quartic opto-mechanical interaction. For that case, we explore the expected dynamical tunnelling rates using Floquet theory and map out values of the effective Planck's constant that should be within practical reach.

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Quantum motional state tomography with nonquadratic potentials and neural networks

Cited by 25 publications

References 50 publications

Theory of waveguide QED with moving emitters

Theory of waveguide QED with moving emitters

Levitodynamics: Levitation and control of microscopic objects in vacuum

Dynamical tunnelling of a Nano-mechanical Oscillator

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