# Strings 2022

Jul 18 – 23, 2022
University of Vienna
Europe/Vienna timezone

## Thermalization with the Inclusion of Conserved Charges

Not scheduled
20m
Audimax (University of Vienna)

### Audimax

#### University of Vienna

Universitätsring 1, 1010 Vienna, Austria

### Speaker

Sarah Racz (University of Texas at Austin)

### Description

We study the effect of conserved charges on thermalization in quantum chaotic systems. Holographically, in the presence of a chemical potential, a non-monotonicity appears in the thermalization time as a function of chemical potential for small regions. To shed light on this behavior from the quantum side we study the dynamics of out of equilibrium states in finite-dimensional spin chains. Our constructed Hamiltonian embeds a mixed field Ising model of qubits into a larger qutrit Hilbert space, admitting a variable conserved charge $Q$. We find that a non-monotonicity is present in the entropy saturation times as a function of $Q$, and find corresponding behavior in the entanglement velocities as well. Additionally, we find that the entropy saturation value grows with the size of the charge superselection sector, maximizing when $Q$ is $1/3$ of its maximal value. We also study the behavior of Pauli matrices acting on the qubit subsystem of each lattice site and show the behavior matches the nearly time-independent behavior of local operators predicted by the Eigenstate Thermalization Hypothesis.

### Primary author

Sarah Racz (University of Texas at Austin)

### Co-authors

Dr Elena Caceres (University of Texas at Austin) Dr Jason Pollack (University of Texas at Austin) Dr Stefan Eccles (Okinawa Institute of Science and Technology Graduate University)

### Presentation materials

There are no materials yet.