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Non-Equilibrium Quantum Many-Body Physics with Quantum Circuits

by Bruno Bertini

Submission summary

Authors (as registered SciPost users): Bruno Bertini
Submission information
Preprint Link: scipost_202601_00072v1  (pdf)
Date submitted: Jan. 29, 2026, 11:46 p.m.
Submitted by: Bruno Bertini
Submitted to: SciPost Physics Lecture Notes
 for consideration in Collection:
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Mathematical Physics
  • Quantum Physics
Approach: Theoretical

Abstract

These are the notes for the 4.5-hour course with the same title that I delivered in August 2025 at the Les Houches summer school ``Exact Solvability and Quantum Information''. In these notes I pedagogically introduce the setting of brickwork quantum circuits and show that it provides a useful framework to study non-equilibrium quantum many-body dynamics in the presence of local interactions. I first show that brickwork quantum circuits evolve quantum correlations in a way that is fundamentally similar to local Hamiltonians, and then present examples of brickwork quantum circuits where, surprisingly, one can compute exactly several relevant dynamical and spectral properties in the presence of non-trivial interactions.

Current status:
In refereeing

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