Dynamical phase transition in the occupation fraction statistics for noncrossing Brownian particles

Soheli Mukherjee, Naftali R. Smith

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We consider a system of N noncrossing Brownian particles in one dimension. We find the exact rate function that describes the long-time large deviation statistics of their occupation fraction in a finite interval in space. Remarkably, we find that, for any general N≥2, the system undergoes N-1 dynamical phase transitions of second order. The N-1 transitions are the boundaries of N phases that correspond to different numbers of particles which are in the vicinity of the interval throughout the dynamics. We achieve this by mapping the problem to that of finding the ground-state energy for N noninteracting spinless fermions in a square-well potential. The phases correspond to different numbers of single-body bound states for the quantum problem. We also study the process conditioned on a given occupation fraction and the large-N limiting behavior.

Original languageEnglish
Article number064133
JournalPhysical Review E
Volume107
Issue number6
DOIs
StatePublished - 1 Jun 2023

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Fingerprint

Dive into the research topics of 'Dynamical phase transition in the occupation fraction statistics for noncrossing Brownian particles'. Together they form a unique fingerprint.

Cite this