Quantum Carpets: a Probe to Identify Wave-Packet Fractional Revivals

Yousaf, Iqra; Iqbal, Shahid

doi:10.1007/s10946-016-9579-3

Cited by 10 publications

(7 citation statements)

References 40 publications

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“…Moreover, as discussed in [27,51,57,58], the present constructed Gazeau-Klauder coherent states (46) must exhibit the phenomena of quantum revivals and fractional revivals which can be explored by means of the autocorrelation function given as For technical reasons, we arbitrary escape these aspects of the study and we hope to report elsewhere. We have etablished the nonclassicality nature of the GKCS through the Mandel parameter and through the negavite value of the Wigner function of GKECs.…”

Section: Conclusion Remarksmentioning

confidence: 99%

Gazeau-Klauder coherent states in position-deformed Heisenberg algebra

Lawson

Osei

2022

J. Phys. Commun.

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In this paper, we present coherent states à la Gazeau-Klauder for a free particle in square well potential within position-deformed Heisenberg algebra. These states satisfy the Klauder's mathematical requirement to build coherent states. Some statistical properties such as the probability distribution, the intensity correlation function and the Mandel parameter are calculated and analyzed. We find that these states are sub-Poissonian in nature. We also construct for these coherent states, the even cat states and we evaluate its Wigner function which analyses the quasiprobability distribution of these states. We graphically demonstrate that these states exhibit nonclassical behavior.

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Section: Conclusion Remarksmentioning

confidence: 99%

Gazeau-Klauder coherent states in position-deformed Heisenberg algebra

Lawson

Osei

2022

J. Phys. Commun.

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“…Moreover, in order to see an explicit dependence of the mean excitation quantum number n 0 on the system parameters (J and υ) and to see the nature of the weighting distribution, we compute the corresponding mean and the variance, respectively, defined in Eqs. (26) and (28). For the weighting distribution, given in Eq.…”

Section: A Qausi-harmonic Nonlinear Oscillatorsmentioning

confidence: 99%

“…These phenomena are very important in many areas of physics such as quantum optics [20,21], coherence theory [22], atomic physics [23], quantum chaos [24][25][26]. The phenomena have been studied with great details during last two decades [26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Coherent States of Nonlinear Oscillators with Position-Dependent Mass: Temporal Stability and Fractional Revivals

Amir¹,

Iqbal²

2017

Commun. Theor. Phys.

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We develop generalized coherent states for a class of nonlinear oscillators with position-dependent effective mass in the context of the Gazeau-Klauder formalism and discuss some of their properties. In order to investigate the temporal evolution we first explore the statistical properties by means of weighting distribution and the Mandel parameter. It is found that the temporal evolution of the coherent states may exhibit the phenomena of quantum revivals and fractional revivals for a particular choice of position-dependent mass oscillator.

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“…A conventional approach to studying fractional revivals is to analyze the autocorrelation function [46], which measures the overlap of the time-evolved wave packet onto the initial wave packet. Nonetheless, some other measures, such as the time-evolution of probability density [58] and information entropy [51,59] have also been introduced in this context. In this letter, we are aimed to explore the phenomenon of wave-packet fractional revivals in PDM systems, which has not been much discussed, except in some recent studies [30,53,59,60].…”

Section: Introductionmentioning

confidence: 99%

Quantum carpets: efficiently probing fractional revivals in position-dependent mass systems

Bibi¹,

Javed²,

Iqbal³

2022

Commun. Theor. Phys.

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The position-dependent-mass systems are of great importance in many physical situations, such as, transport of charge carriers in semiconductors with non-uniform composition and in the theory of many-body interactions in condensed matter. Here we investigate, numerically and analytically, the phenomenon of fractional revivals in such systems, which is a generic characteristic manifested by the wave-packet evolution in bounded Hamiltonian systems. Identifying the fractional revivals using specific probes is an important task in the theory of quantum measurement and sensing. We numerically simulate the temporal evolution of probability density and information entropy density, which manifest self-similarly recurring interference patterns, namely, quantum carpets. Our numerical results show that the quantum carpets not only serve as an effective probe for recognizing the fractional revivals of various order but they efficiently describe the effect of spatially-varying mass on the structure of fractional revivals, which is manifested as a symmetry breaking in their designs.

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Quantum Carpets: a Probe to Identify Wave-Packet Fractional Revivals

Cited by 10 publications

References 40 publications

Gazeau-Klauder coherent states in position-deformed Heisenberg algebra

Gazeau-Klauder coherent states in position-deformed Heisenberg algebra

Coherent States of Nonlinear Oscillators with Position-Dependent Mass: Temporal Stability and Fractional Revivals

Quantum carpets: efficiently probing fractional revivals in position-dependent mass systems

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