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Collective couplings: Rectification and supertransmittance.

Gernot Schaller1, Giulio Giuseppe Giusteri2,3,4, Giuseppe Luca Celardo3,4,5

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This study reveals a cooperatively enhanced heat rectification effect in a large spin system, leading to a significant amplification of current asymmetries. This phenomenon enables the system to function as an efficient heat diode, particularly for large system sizes.

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Area of Science:

  • Quantum Thermodynamics
  • Condensed Matter Physics
  • Quantum Information Science

Background:

  • Investigating heat transport in quantum systems is crucial for understanding energy flow at the nanoscale.
  • Coupling quantum systems to thermal reservoirs introduces dissipation and decoherence, significantly impacting transport properties.
  • The Dicke superradiance model describes collective dissipation in systems of N two-level systems.

Purpose of the Study:

  • To explore heat transport between two thermal reservoirs coupled via a large spin system.
  • To analyze the impact of Dicke superradiance and pure-dephasing interactions on heat rectification.
  • To investigate the potential of such systems to function as heat diodes.

Main Methods:

  • A large spin system composed of N two-level systems coupled to two distinct thermal reservoirs.
  • Utilizing a Bogoliubov mapping to handle the pure-dephasing reservoir beyond the weak-coupling limit.
  • Employing a master equation approach to model the system dynamics and deriving a coarse-grained rate equation.

Main Results:

  • A cooperatively enhanced rectification effect is observed due to the interplay of supertransmittant heat currents and asymmetric couplings.
  • The heat current scales quadratically with N, leading to significant amplification of current asymmetries under bias reversal.
  • The system demonstrates functionality as a heat diode, with the effect persisting even with locally dissipative couplings.

Conclusions:

  • The proposed system effectively functions as a heat diode, amplifying current asymmetries through cooperative effects.
  • The interplay between Dicke superradiance and pure-dephasing leads to enhanced rectification properties.
  • This research opens avenues for designing quantum thermal devices with tunable rectification capabilities.