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Tensor product random matrix theory

Alexander Altland

Joaquim Telles de Miranda and Tobias Micklitz

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Phys. Rev. Research 6, L042029 – Published 30 October, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L042029

Abstract

The evolution of complex correlated quantum systems such as random circuit networks is governed by the dynamical buildup of both entanglement and entropy. We here introduce a real-time field theory approach—essentially a fusion of the GΣ functional of the SYK model and the field theory of disordered systems—engineered to microscopically describe the full range of such crossover dynamics: from initial product states to a maximum entropy ergodic state. To showcase this approach in the simplest nontrivial setting, we consider a tensor product of coupled random matrices, and compare to exact diagonalization.

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References (22)

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Phys. Rev. Research 6, L042029– Published 30 October, 2024
  • Received 22 April 2024
  • Accepted 9 September 2024
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