Quantum dynamics in potentials with fast spatial oscillations

Novičenko, Viktor; Ruseckas, Julius; Anisimovas, Egidijus

doi:10.1103/physreva.99.043608

Cited by 7 publications

(9 citation statements)

References 25 publications

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“…where all the c + dependence is contained in α(c + ) through Eq. (74). In this expression, α is not bounded from above by α U ∼ 1 because the determination of A or ( ė1 ) 2 max is independent of mode decoupling or ETSP evaluation.…”

Section: General Map Of Analytic Model Parameters To {Cmentioning

confidence: 98%

“…Hence, the effect of these two parameters is best understood by studying the α expression from Eq. (74). We consider the minimal case with ε 0 = 0 and expand α to quadratic order in ε 0 in Eq.…”

Section: −mentioning

confidence: 99%

“…Appendix B describes how the less striking non-resonant situations can be computed within this paper's framework. Appendix C describes a method from [74] of integrating out the fast oscillations to obtain an effective differential equation containing smaller frequencies. Appendix D discusses the dynamics of a composite field object that will be useful in integrating out fast oscillations in the axion model of interest in this paper.…”

mentioning

confidence: 99%

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An Analytic Treatment of Underdamped Axionic Blue Isocurvature Perturbations

Chung,

Tadepalli

2021

Preprint

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Previous computations of strongly blue tilted axionic isocurvature spectra were computed in the parametric region in which the lightest time-dependent mass is smaller than the Hubble expansion rate during inflation, leading to an overdamped time evolution. Here we present the strongly blue tilted axionic isocurvature spectrum in an underdamped time evolution parametric regime. Somewhat surprisingly, there exist parametric regions with a strong resonant spectral behavior that leads to a rich isocurvature spectral shape. We focus on computing this resonant spectrum analytically in a large parametric region amenable to such computations. Because the spectrum is sensitive to nonperturbative classical field dynamics, a wide variety of analytic techniques are used including a time-space effective potential obtained by integrating out high frequency fluctuations. Contents 1. Introduction 2. A brief review of blue axionic isocurvature perturbations 3. Decoupling 4. Behavior of φ ± near the first crossing of φ ± 4.1. Perturbative solution 4.2. Beyond perturbation theory 4.3. Resonant scenarios 5. Numerically Motivated model 5.1. Piecewise solution (scattering matrix approach) 5.2. Independent analytic functions in each piecewise-region

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Section: General Map Of Analytic Model Parameters To {Cmentioning

confidence: 98%

Section: −mentioning

confidence: 99%

mentioning

confidence: 99%

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An Analytic Treatment of Underdamped Axionic Blue Isocurvature Perturbations

Chung,

Tadepalli

2021

Preprint

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“…In parallel simulating a system with fast oscillations usually depends on the precision of sampling interval 21 . When the sampling interval is insufficient numerical ways may arise poor outcomes that are largely deviated from its real numbers 22 .…”

Section: Introductionmentioning

confidence: 99%

Revisiting the dynamics of Bose-Einstein condensates in a double well by deep learning with a hybrid network

Li,

Xu,

Qian

et al. 2021

Preprint

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Solving physical problems by deep learning is accurate and efficient mainly accounting for the use of an elaborate neural network. We propose a novel hybrid network which integrates two different kinds of neural networks: LSTM and ResNet, in order to overcome the difficulty met in solving strongly-oscillating dynamics of the system's time evolution. By taking the double-well model as an example we show that our new method can benefit from a pre-learning and verification of the periodicity of frequency by using the LSTM network, simultaneously making a high-fidelity prediction about the whole dynamics of system with ResNet, which is impossibly achieved in the case of single network. Such a hybrid network can be applied for solving cooperative dynamics in a system with fast spatial or temporal modulations, promising for realistic oscillation calculations under experimental conditions.

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“…(1a)). As pointed out in [27], a quantum particle evolving in a potential with a periodic spatial modulation experiences an attractive effect in comparison to a constant one with the same average value. The reason is that, although the modulation urally increases the kinetic energy due to a coupling to high momentum states, the resultant modulation of the wavefunction, with maxima localized at the minima of the trap, causes a stronger reduction of the potential energy.…”

mentioning

confidence: 96%

Spatial Bloch oscillations of a quantum gas in a "beat-note" superlattice

Masi,

Petrucciani,

Ferioli

et al. 2021

Preprint

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We report the experimental realization of a new kind of optical lattice for ultra-cold atoms where arbitrarily large separation between the sites can be achieved without renouncing to the stability of ordinary lattices. Two collinear lasers, with slightly different commensurate wavelengths and retroreflected on a mirror, generate a superlattice potential with a periodic "beat-note" profile where the regions with large amplitude modulation provide the effective potential minima for the atoms. To prove the analogy with a standard large spacing optical lattice we study Bloch oscillations of a Bose Einstein condensate with negligible interactions in the presence of a small force. The observed dynamics between sites separated by ten microns for times exceeding one second proves the high stability of the potential. This novel lattice is the ideal candidate for the coherent manipulation of atomic samples at large spatial separations and might find direct application in atom-based technologies like trapped atom interferometers and quantum simulators.

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Quantum dynamics in potentials with fast spatial oscillations

Cited by 7 publications

References 25 publications

An Analytic Treatment of Underdamped Axionic Blue Isocurvature Perturbations

An Analytic Treatment of Underdamped Axionic Blue Isocurvature Perturbations

Revisiting the dynamics of Bose-Einstein condensates in a double well by deep learning with a hybrid network

Spatial Bloch oscillations of a quantum gas in a "beat-note" superlattice

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