# Geometrical Interpretation of Dynamical Phase Transitions in Boundary Driven Systems

## TL;DR

This paper introduces a geometric approach to identify dynamical phase transitions in boundary driven systems through an effective potential derived from macroscopic fluctuation theory, revealing new transitions and proposing an experimental demonstration.

## Contribution

It presents a novel geometric method to detect dynamical phase transitions and uncovers new transitions not accessible by previous perturbative techniques.

## Key findings

- New dynamical phase transitions identified
- Geometric structure reveals transitions missed by perturbative methods
- Proposed experimental scheme for observing analogs of phase transitions

## Abstract

Dynamical phase transitions are defined as non-analytic points of the large deviation function of current fluctuations. We show that for boundary driven systems, many dynamical phase transitions can be identified using the geometrical structure of an effective potential of a Hamiltonian, recovered from the macroscopic fluctuation theory description. Using this method we identify new dynamical phase transitions that could not be recovered using existing perturbative methods. Moreover, using the Hamiltonian picture, an experimental scheme is suggested to demonstrate an analog of dynamical phase transitions in linear, rather than exponential, time.