Numerical simulations unveil superradiant coherence in a lattice of charged quantum oscillators.

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Title: Numerical simulations unveil superradiant coherence in a lattice of charged quantum oscillators.
Authors: Gamberale, L.1 (AUTHOR) luca.gamberale@mib.infn.it, Modanese, G.1,2 (AUTHOR) giovanni.modanese@unibz.it
Source: Physica B. Dec2023, Vol. 671, pN.PAG-N.PAG. 1p.
Subjects: Monte Carlo method, Coherent states, Metal crystals, Metal quenching, Computer simulation, Quantum coherence
Abstract: A system of N o s c charged oscillators interacting with the electromagnetic field, spatially confined in a 3D lattice of sub-wavelength dimension, can condense into a superradiant coherent state if appropriate density and frequency conditions are met. In this state, the common frequency ω of the oscillators and the plasma frequency ω p of the charges are combined into a frequency ω ′ = ω 2 + ω p 2 that is off-shell with respect to the wavelength of the photon modes involved, preventing them from propagating outside the material. Unlike other atomic cavity systems, the frequency ω in this case is not determined by the cavity itself but is defined by the periodic electrostatic potential that confines the charged particles in the lattice. Additionally, the electromagnetic modes involved have wave vectors distributed in all spatial directions, resulting in a significant increase in coupling. The analytical study of this system can be carried out in the limit of large N o s c by searching for an approximation of the ground state via suitable coherent trial states. Alternatively, numerical simulations can be employed for smaller N o s c. In the numerical approach, it is possible to go beyond the Rotating Wave Approximation (RWA) and introduce a dissipation term for the photon modes. This dissipation term can account for the ohmic quench in a metal and also consider photon losses at the boundary of the material. By utilizing numerical solutions and Monte Carlo simulations, the presence of condensation has been confirmed, and an energy gap of a few electron volts (eV) per particle has been observed in typical metal crystals with protons bound to tetrahedral or octahedral sites. • Charged oscillators confined in a 3D lattice can condense into a superradiant coherent state. • The relevant frequency is defined by the periodic potential confining the particles. • The electromagnetic modes involved have wave vectors distributed in all spatial directions. • Using Monte Carlo simulations with dissipation, the presence of condensation was confirmed. • The energy gap is of a few eV per particle in metals with protons bound to tetrahedral sites. [ABSTRACT FROM AUTHOR]
Copyright of Physica B is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Numerical simulations unveil superradiant coherence in a lattice of charged quantum oscillators.
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  Data: <searchLink fieldCode="AR" term="%22Gamberale%2C+L%2E%22">Gamberale, L.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> luca.gamberale@mib.infn.it</i><br /><searchLink fieldCode="AR" term="%22Modanese%2C+G%2E%22">Modanese, G.</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> giovanni.modanese@unibz.it</i>
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  Data: <searchLink fieldCode="DE" term="%22Monte+Carlo+method%22">Monte Carlo method</searchLink><br /><searchLink fieldCode="DE" term="%22Coherent+states%22">Coherent states</searchLink><br /><searchLink fieldCode="DE" term="%22Metal+crystals%22">Metal crystals</searchLink><br /><searchLink fieldCode="DE" term="%22Metal+quenching%22">Metal quenching</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+coherence%22">Quantum coherence</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: A system of N o s c charged oscillators interacting with the electromagnetic field, spatially confined in a 3D lattice of sub-wavelength dimension, can condense into a superradiant coherent state if appropriate density and frequency conditions are met. In this state, the common frequency ω of the oscillators and the plasma frequency ω p of the charges are combined into a frequency ω ′ = ω 2 + ω p 2 that is off-shell with respect to the wavelength of the photon modes involved, preventing them from propagating outside the material. Unlike other atomic cavity systems, the frequency ω in this case is not determined by the cavity itself but is defined by the periodic electrostatic potential that confines the charged particles in the lattice. Additionally, the electromagnetic modes involved have wave vectors distributed in all spatial directions, resulting in a significant increase in coupling. The analytical study of this system can be carried out in the limit of large N o s c by searching for an approximation of the ground state via suitable coherent trial states. Alternatively, numerical simulations can be employed for smaller N o s c. In the numerical approach, it is possible to go beyond the Rotating Wave Approximation (RWA) and introduce a dissipation term for the photon modes. This dissipation term can account for the ohmic quench in a metal and also consider photon losses at the boundary of the material. By utilizing numerical solutions and Monte Carlo simulations, the presence of condensation has been confirmed, and an energy gap of a few electron volts (eV) per particle has been observed in typical metal crystals with protons bound to tetrahedral or octahedral sites. • Charged oscillators confined in a 3D lattice can condense into a superradiant coherent state. • The relevant frequency is defined by the periodic potential confining the particles. • The electromagnetic modes involved have wave vectors distributed in all spatial directions. • Using Monte Carlo simulations with dissipation, the presence of condensation was confirmed. • The energy gap is of a few eV per particle in metals with protons bound to tetrahedral sites. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Physica B is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.physb.2023.415406
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      – Code: eng
        Text: English
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        StartPage: N.PAG
    Subjects:
      – SubjectFull: Monte Carlo method
        Type: general
      – SubjectFull: Coherent states
        Type: general
      – SubjectFull: Metal crystals
        Type: general
      – SubjectFull: Metal quenching
        Type: general
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Quantum coherence
        Type: general
    Titles:
      – TitleFull: Numerical simulations unveil superradiant coherence in a lattice of charged quantum oscillators.
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            NameFull: Modanese, G.
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              Text: Dec2023
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              Y: 2023
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