Quantum phase-space representation for curved configuration spaces

Gneiting, Clemens; Fischer, Timo; Hornberger, Klaus

doi:10.1103/physreva.88.062117

Cited by 28 publications

(32 citation statements)

References 52 publications

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“…, with the terms of type (∂ 2 V )δ (E − H) from (36) by partial integration under the r-integral in (31). Thus, the leading-order quantum corrections to the spectral function are…”

Section: Semiclassical Expansion To Ordermentioning

confidence: 99%

Semiclassical spectral function for matter waves in random potentials

Trappe¹,

Delande²,

Müller³

2015

J. Phys. A: Math. Theor.

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Abstract. An -expansion is presented for the ensemble-averaged spectral function of noninteracting matter waves in random potentials. We obtain the leading quantum corrections to the deep classical limit at high energies by the Wigner-Weyl formalism. The analytical results are checked with success against numerical data for Gaussian and laser speckle potentials with Gaussian spatial correlation in two dimensions.

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“…, with the terms of type (∂ 2 V )δ (E − H) from (36) by partial integration under the r-integral in (31). Thus, the leading-order quantum corrections to the spectral function are…”

Section: Semiclassical Expansion To Ordermentioning

confidence: 99%

Semiclassical spectral function for matter waves in random potentials

Trappe¹,

Delande²,

Müller³

2015

J. Phys. A: Math. Theor.

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“…Since the space of orientations is compact the associated momenta are discrete. Using the Euler angles , , a b g W = ( )as configuration space coordinates, the Wigner function is given by [49,50]…”

Section: Semiclassical Limitmentioning

confidence: 99%

Quantum angular momentum diffusion of rigid bodies

2017

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We show how to describe the diffusion of the quantized angular momentum vector of an arbitrarily shaped rigid rotor as induced by its collisional interaction with an environment. We present the general form of the Lindblad-type master equation and relate it to the orientational decoherence of an asymmetric nanoparticle in the limit of small anisotropies. The corresponding diffusion coefficients are derived for gas particles scattering off large molecules and for ambient photons scattering off dielectric particles, using the elastic scattering amplitudes.The first term accounts for the free dynamics, the second part describes the effect of the environment. It follows from equation (2), similar to the derivation of the Fokker-Planck equation [27, 29], thatNote that the use of canonical momenta instead of J would render the free evolution in (4) phase space volume preserving, but it would complicate considerably the diffusive part (5).In order to observe that equation (5) indeed describes angular momentum diffusion, we note that the expectation value of J remains constant while its second moment increases linearly with time, J J J 0 and 2 D . 6 t t

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“…Often it is convenient to work in quantum phase space [8,19]. In terms of the characteristic function…”

Section: Effective Evolutionmentioning

confidence: 99%

Disorder-Induced Dephasing in Backscattering-Free Quantum Transport

Gneiting

Nori

2017

Phys. Rev. Lett.

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We analyze the disorder-perturbed transport of quantum states in the absence of backscattering. This comprises, for instance, the propagation of edge-mode wave packets in topological insulators, or the propagation of photons in inhomogeneous media. We quantify the disorder-induced dephasing, which we show to be bound. Moreover, we identify a gap condition to remain in the backscattering-free regime despite disorder-induced momentum broadening. Our analysis comprises the full disorder-averaged quantum state, on the level of both populations and coherences, appreciating states as potential carriers of quantum information. The well-definedness of states is guaranteed by our treatment of the nonequilibrium dynamics with Lindblad master equations.

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Quantum phase-space representation for curved configuration spaces

Cited by 28 publications

References 52 publications

Semiclassical spectral function for matter waves in random potentials

Semiclassical spectral function for matter waves in random potentials

Quantum angular momentum diffusion of rigid bodies

Disorder-Induced Dephasing in Backscattering-Free Quantum Transport

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