Vector polarizability of an atomic state induced by a linearly polarized vortex beam: External control of magic, tune-out wavelengths, and heteronuclear spin oscillations

Bhowmik, Anal; Dutta, Narendra Nath; Majumder, Sonjoy

doi:10.1103/physreva.102.063116

Cited by 6 publications

(3 citation statements)

References 73 publications

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“…The present work can inspire several promising and interesting future research directions. An immediate extension would be the dynamics of even more intricate bosonic structures, e.g., vortex state or a mixture of vortex states induced by Raman process using light with orbital angular momentum 87 – 92 or by synthetic magnetic fields 93 in the longitudinal and transversal resonant tunneling conditions. Also, to apply a linear response theory 94 to accurately calculate the different breathing frequencies involved in the time evolution of different quantities at the resonant tunneling scenario would be challenging.…”

Section: Discussionmentioning

confidence: 99%

Longitudinal and transversal resonant tunneling of interacting bosons in a two-dimensional Josephson junction

Bhowmik

Alon²

2022

Sci Rep

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We unravel the out-of-equilibrium quantum dynamics of a few interacting bosonic clouds in a two-dimensional asymmetric double-well potential at the resonant tunneling scenario. At the single-particle level of resonant tunneling, particles tunnel under the barrier from, typically, the ground-state in the left well to an excited state in the right well, i.e., states of different shapes and properties are coupled when their one-particle energies coincide. In two spatial dimensions, two types of resonant tunneling processes are possible, to which we refer to as longitudinal and transversal resonant tunneling. Longitudinal resonant tunneling implies that the state in the right well is longitudinally-excited with respect to the state in the left well, whereas transversal resonant tunneling implies that the former is transversely-excited with respect to the latter. We show that interaction between bosons makes resonant tunneling phenomena in two spatial dimensions profoundly rich, and analyze these phenomena in terms of the loss of coherence of the junction and development of fragmentation, and coupling between transverse and longitudinal degrees-of-freedom and excitations. To this end, a detailed analysis of the tunneling dynamics is performed by exploring the time evolution of a few physical quantities, namely, the survival probability, occupation numbers of the reduced one-particle density matrix, and the many-particle position, momentum, and angular-momentum variances. To accurately calculate these physical quantities from the time-dependent many-boson wavefunction, we apply a well-established many-body method, the multiconfigurational time-dependent Hartree for bosons (MCTDHB), which incorporates quantum correlations exhaustively. By comparing the survival probabilities and variances at the mean-field and many-body levels of theory and investigating the development of fragmentation, we identify the detailed mechanisms of many-body longitudinal and transversal resonant tunneling in two dimensional asymmetric double-wells. In particular, we find that the position and momentum variances along the transversal direction are almost negligible at the longitudinal resonant tunneling, whereas they are substantial at the transversal resonant tunneling which is caused by the combination of the density and breathing mode oscillations. We show that the width of the interparticle interaction potential does not affect the qualitative physics of resonant tunneling dynamics, both at the mean-field and many-body levels. In general, we characterize the impact of the transversal and longitudinal degrees-of-freedom in the many-boson tunneling dynamics at the resonant tunneling scenarios.

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Section: Discussionmentioning

confidence: 99%

Longitudinal and transversal resonant tunneling of interacting bosons in a two-dimensional Josephson junction

Bhowmik

Alon²

2022

Sci Rep

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“…To obtain further information of the time-dependent many-particle wavefunction, we present the many-particale variances of the observables, The present work can inspire several promising and interesting future research directions. An immediate extension would be the dynamics of more intricate bosonic structures, e.g., vortex state or mixture of vortex states induced by Raman process using light with orbital angular momentum [73][74][75][76][77] or by synthetic magnetic fields [78] in the longitudinal and transversal resonant tunneling conditions. Also, to apply a linear response theory [72] to accurately calculate the different breathing frequencies involved in the time evolution of different quantities at the resonant tunneling scenario.…”

Section: Discussionmentioning

confidence: 99%

Longitudinal and transversal resonant tunneling of interacting bosons in a two-dimensional Josephson junction: Mean-field and many-body dynamics

Bhowmik,

Alon

2021

Preprint

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We unravel the out-of-equilibrium quantum dynamics of a few interacting bosonic clouds in a two-dimensional asymmetric double-well potential at the resonant tunneling scenario.At the single-particle level of resonant tunneling, particles tunnel under the barrier from, typically, the ground-state in the left well to an excited state in the right well, i.e., states of different shapes and properties are coupled when their one-particle energies coincide. In two spatial dimensions, two types of resonant tunneling processes are possible, to which we refer to as longitudinal and transversal resonant tunneling. Longitudinal resonant tunneling implies that the state in the right well is longitudinally-excited with respect to the state in the left well, whereas transversal resonant tunneling implies that the former is transverselyexcited with respect to the latter. We show that interaction between bosons makes resonant tunneling phenomena in two spatial dimensions profoundly rich, and analyze these phenomena in terms of the loss of coherence of the junction and development of fragmentation, and coupling between transverse and longitudinal degrees-of-freedom and excitations. To this end, a detailed analysis of the tunneling dynamics is performed by exploring the time evolution of a few physical quantities, namely, the survival probability, occupation numbers of the reduced one-particle density matrix, and the many-particle position, momentum, and angular-momentum variances. To accurately calculate these physical quantities from the time-dependent many-boson wavefunction, we apply a well-established many-body method, the multiconfigurational time-dependent Hartree for bosons (MCTDHB), which incorporates quantum correlations exhaustively. By comparing the survival probabilities and variances at the mean-field and many-body levels of theory and investigating the development of fragmentation, we identify the detailed mechanisms of many-body longitudinal and transversal resonant tunneling in two dimensional asymmetric double-wells. In particular, we find that the position and momentum variances along the transversal direction are almost negligible at the longitudinal resonant tunneling, whereas they are substantial at the transversal resonant tunneling which is caused by the combination of the density and breathing mode oscillations.In general, we display the impact of the transversal and longitudinal degrees-of-freedom in the many-boson tunneling dynamics at the resonant tunneling scenarios.

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“…The aim of this paper is to estimate (a) energies of the ground and low-lying excited states, (b) the oscillator strengths of electromagnetically allowed transitions, (c) transition probabilities of the forbidden transitions, and (d) lifetimes for a few excited states of Ar 7+ , Kr 7+ , Xe 7+ , and Rn 7+ using the relativistic coupled-cluster (RCC) method [64][65][66]. The accuracies of the RCC calculations are well established by our group for different applications [67][68][69][70][71][72][73][74][75][76]. The all-order structure of electron correlation in the RCC theory has been elaborated in our earlier paper [77] and the review article by Bartlett [78].…”

Section: Introductionmentioning

confidence: 99%

Transitional Strength Under Plasma: Precise Estimations of Astrophysically Relevant Electromagnetic Transitions of Ar7, Kr7, Xe7, and Rn7 Under Plasma Atmosphere++++

Biswas

Bhowmik

Das

et al. 2023

Atoms

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The growing interest in atomic structures of moderately stripped alkali-like ions in the diagnostic study and modeling of astrophysical and laboratory plasma makes an accurate many-body study of atomic properties inevitable. This work presents transition line parameters in the absence or presence of plasma atmosphere for astrophysically important candidates Ar7+, Kr7+, Xe7+, and Rn7+. We employ relativistic coupled-cluster (RCC) theory, a well-known correlation exhaustive method. In the case of a plasma environment, we use the Debye Model. Our calculations agree with experiments available in the literature for ionization potentials, transition strengths of allowed and forbidden selections, and lifetimes of several low-lying states. The unit ratios of length and velocity forms of transition matrix elements are the critical estimation of the accuracy of the transition data presented here, especially for a few presented for the first time in the literature. We do compare our findings with the available recent theoretical results. Our reported data can be helpful to the astronomer in estimating the density of the plasma environment around the astronomical objects or in the discovery of observational spectra corrected by that environment. The present results should be advantageous in the modeling and diagnostics laboratory plasma, whereas the calculated ionization potential depression parameters reveal important characteristics of atomic structure.

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Vector polarizability of an atomic state induced by a linearly polarized vortex beam: External control of magic, tune-out wavelengths, and heteronuclear spin oscillations

Cited by 6 publications

References 73 publications

Longitudinal and transversal resonant tunneling of interacting bosons in a two-dimensional Josephson junction

Longitudinal and transversal resonant tunneling of interacting bosons in a two-dimensional Josephson junction

Longitudinal and transversal resonant tunneling of interacting bosons in a two-dimensional Josephson junction: Mean-field and many-body dynamics

Transitional Strength Under Plasma: Precise Estimations of Astrophysically Relevant Electromagnetic Transitions of Ar7, Kr7, Xe7, and Rn7 Under Plasma Atmosphere++++

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