# Coupled activity-current fluctuations in open quantum systems under strong symmetries

@article{Manzano2021CoupledAF, title={Coupled activity-current fluctuations in open quantum systems under strong symmetries}, author={Daniel Manzano and Mario Mart{\'i}nez-Garc{\'i}a and Pablo I. Hurtado}, journal={New Journal of Physics}, year={2021}, volume={23} }

Strong symmetries in open quantum systems lead to broken ergodicity and the emergence of multiple degenerate steady states. From a quantum jump (trajectory) perspective, the appearance of multiple steady states is related to underlying dynamical phase transitions (DPTs) at the fluctuating level, leading to a dynamical coexistence of different transport channels classified by symmetry. In this paper we investigate how strong symmetries affect both the transport properties and the activity…

## 3 Citations

### On the generality of symmetry breaking and dissipative freezing in quantum trajectories

- PhysicsSciPost Physics Core
- 2023

Recently, several studies involving open quantum systems which
possess a strong symmetry have observed that every individual trajectory
in the Monte Carlo unravelling of the master equation will…

### Exact multistability and dissipative time crystals in interacting fermionic lattices

- PhysicsCommunications Physics
- 2022

The existence of multistability in quantum systems beyond the mean-field approximation remains an intensely debated open question. Quantum fluctuations are finite-size corrections to the mean-field…

## References

SHOWING 1-10 OF 135 REFERENCES

### Symmetry and the thermodynamics of currents in open quantum systems

- Physics
- 2014

Symmetry is a powerful concept in physics, and its recent application to understand nonequilibrium behavior is providing deep insights and groundbreaking exact results. Here we show how to harness…

### Characterization of dynamical phase transitions in quantum jump trajectories beyond the properties of the stationary state.

- PhysicsPhysical review letters
- 2013

We describe how to characterize dynamical phase transitions in open quantum systems from a purely dynamical perspective, namely, through the statistical behavior of quantum jump trajectories. This…

### Symmetries and conservation laws in quantum trajectories: Dissipative freezing

- PhysicsPhysical Review A
- 2019

In driven-dissipative systems, the presence of a strong symmetry guarantees the existence of several steady states belonging to different symmetry sectors. Here we show that when a system with a…

### Dynamical criticality in open systems: Nonperturbative physics, microscopic origin, and direct observation

- PhysicsPhysical Review E
- 2018

Driven diffusive systems may undergo phase transitions to sustain atypical values of the current. This leads in some cases to symmetry-broken space-time trajectories which enhance the probability of…

### Stationary state degeneracy of open quantum systems with non-abelian symmetries

- Mathematics, PhysicsJournal of Physics A: Mathematical and Theoretical
- 2020

We study the null space degeneracy of open quantum systems with multiple non-abelian, strong symmetries. By decomposing the Hilbert space representation of these symmetries into an irreducible…

### Dynamical signatures of molecular symmetries in nonequilibrium quantum transport

- PhysicsScientific Reports
- 2016

This work proposes an elegant approach to detect symmetries by measuring quantum currents using a 4-site model and an archetypal example of the para-benzene ring and is shown to be robust under a weak disorder.

### Magnetic field induced symmetry breaking in nonequilibrium quantum networks

- PhysicsNew Journal of Physics
- 2020

We study the effect of an applied magnetic field on the nonequilibrium transport properties of a general cubic quantum network described by a tight-binding Hamiltonian with specially designed…

### Nonequilibrium quantum phase transitions in the XY model: comparison of unitary time evolution and reduced density operator approaches

- Physics
- 2014

We study nonequilibrium quantum phase transitions in the XY spin 1/2 chain using the C * ?> algebra. We show that the well-known quantum phase transition at a magnetic field of h = 1 also persists in…

### Symmetries in fluctuations far from equilibrium

- PhysicsProceedings of the National Academy of Sciences
- 2011

An isometric fluctuation relation is derived that links in a strikingly simple manner the probabilities of any pair of isometric current fluctuations, and this relation adds a completely new perspective on the high level of symmetry imposed by time-reversibility on the statistics of nonequilibrium fluctuations.

### Spontaneous symmetry breaking at the fluctuating level.

- PhysicsPhysical review letters
- 2011

These observations, which agree with predictions derived from hydrodynamic fluctuation theory, strongly suggest that rare events are generically associated with coherent, self-organized patterns which enhance their probability.