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Transient Dynamics and Homogenization in Incoherent Collision Models.

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This study compares coherent and incoherent collision models for open quantum systems. Incoherent models show distinct transient dynamics, impacting memory effects and synchronization differently than coherent models.

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Area of Science:

  • Quantum Physics
  • Open Quantum Systems
  • Quantum Information

Background:

  • Collision models are versatile tools for simulating open quantum systems.
  • They are used to study phenomena like non-Markovian memory and quantum synchronization.
  • Coherent partial SWAP (PSWAP) operations are common for modeling system-environment interactions.

Purpose of the Study:

  • To investigate the dynamical behavior of incoherent collision models using the controlled SWAP (CSWAP) operation.
  • To comparatively analyze the effects of coherent (PSWAP) versus incoherent (CSWAP) couplings on open quantum system dynamics.
  • To understand the transient dynamics' role in memory effects and synchronization.

Main Methods:

  • Utilizing incoherent collision models with CSWAP operations.
  • Performing comparative analysis against models with coherent PSWAP interactions.
  • Focusing on the transient dynamics of single-qubit systems and pairs of qubits.

Main Results:

  • While asymptotic dynamics are similar, transient dynamics differ significantly between coherent and incoherent collision models.
  • Incoherent couplings (CSWAP) lead to distinct emergence of memory effects in single-qubit systems.
  • The onset of synchronization in coupled qubits is also shown to be sensitive to the transient dynamics influenced by coupling type.

Conclusions:

  • The choice between coherent and incoherent couplings in collision models critically affects the transient dynamics of open quantum systems.
  • Transient dynamics, not just asymptotic behavior, are crucial for understanding phenomena like quantum memory and synchronization.
  • Incoherent collision models offer a different pathway to explore complex quantum dynamics and emergent behaviors.