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A perturbative renormalization group approach to driven quantum systems.

Sangita De Sarkar1, Rajdeep Sensarma, K Sengupta

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Summary
This summary is machine-generated.

We use renormalization group (RG) to study driven quantum systems. Drive frequency acts like temperature, enabling a non-Gaussian regime with new interactions near critical points.

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Area of Science:

  • Quantum Field Theory
  • Condensed Matter Physics
  • Statistical Mechanics

Background:

  • Driven quantum systems exhibit complex dynamics.
  • Understanding behavior near critical points is crucial.
  • Renormalization group (RG) is a powerful tool for analyzing scale-dependent phenomena.

Purpose of the Study:

  • To investigate properties of driven quantum systems at zero temperature using a perturbative momentum shell RG approach.
  • To analyze the effect of a time-dependent interaction parameter on system behavior.
  • To establish conditions for transitioning from Gaussian to non-Gaussian regimes.

Main Methods:

  • Application of a perturbative momentum shell renormalization group (RG) approach.
  • Utilizing Keldysh diagrammatic technique to derive RG equations.
  • Analysis of bosonic ϕ(4) theory with a time-dependent interaction parameter λ(t).
  • Derivation of RG equations and analysis of their scaling properties.

Main Results:

  • The drive frequency (ω0) acts as a cutoff scale, analogous to temperature in equilibrium systems.
  • An analytical condition for exiting the Gaussian regime was derived.
  • The onset of the non-Gaussian regime is marked by non-perturbative mode coupling terms.
  • Results were corroborated using equations of motion for bosons.

Conclusions:

  • The study provides a framework for understanding driven quantum systems using RG.
  • The drive frequency's role as a cutoff scale is significant for RG flow.
  • The findings are relevant for systems near critical points described by time-dependent Landau-Ginzburg theories.