Full counting statistics of charge in chaotic many-body quantum systems
E McCulloch, J De Nardis, S Gopalakrishnan… - Physical review …, 2023 - APS
We investigate the full counting statistics of charge transport in U (1)-symmetric random
unitary circuits. We consider an initial mixed state prepared with a chemical potential …
unitary circuits. We consider an initial mixed state prepared with a chemical potential …
Neural-network solutions to stochastic reaction networks
The stochastic reaction network in which chemical species evolve through a set of reactions
is widely used to model stochastic processes in physics, chemistry and biology. To …
is widely used to model stochastic processes in physics, chemistry and biology. To …
Learning nonequilibrium statistical mechanics and dynamical phase transitions
Nonequilibrium statistical mechanics exhibit a variety of complex phenomena far from
equilibrium. It inherits challenges of equilibrium, including accurately describing the joint …
equilibrium. It inherits challenges of equilibrium, including accurately describing the joint …
Efficient simulations of epidemic models with tensor networks: Application to the one-dimensional susceptible-infected-susceptible model
The contact process is an emblematic model of a nonequilibrium system, containing a phase
transition between inactive and active dynamical regimes. In the epidemiological context …
transition between inactive and active dynamical regimes. In the epidemiological context …
Optimal sampling of dynamical large deviations in two dimensions via tensor networks
We use projected entangled-pair states (PEPS) to calculate the large deviation statistics of
the dynamical activity of the two-dimensional East model, and the two-dimensional …
the dynamical activity of the two-dimensional East model, and the two-dimensional …
Quantum turnstiles for robust measurement of full counting statistics
R Samajdar, E McCulloch, V Khemani… - arXiv preprint arXiv …, 2023 - arxiv.org
We present a scalable protocol for measuring full counting statistics (FCS) in experiments or
tensor-network simulations. In this method, an ancilla in the middle of the system acts as a …
tensor-network simulations. In this method, an ancilla in the middle of the system acts as a …
[HTML][HTML] Using tensor network states for multi-particle Brownian ratchets
The study of Brownian ratchets has taught how time-periodic driving supports a time-
periodic steady state that generates nonequilibrium transport. When a single particle is …
periodic steady state that generates nonequilibrium transport. When a single particle is …
Slow dynamics and large deviations in classical stochastic Fredkin chains
The Fredkin spin chain serves as an interesting theoretical example of a quantum
Hamiltonian whose ground state exhibits a phase transition between three distinct phases …
Hamiltonian whose ground state exhibits a phase transition between three distinct phases …
Quantifying rare events in stochastic reaction-diffusion dynamics using tensor networks
SB Nicholson, TR Gingrich - Physical Review X, 2023 - APS
The interplay between stochastic chemical reactions and diffusion can generate rich
spatiotemporal patterns. While the timescale for individual reaction or diffusion events may …
spatiotemporal patterns. While the timescale for individual reaction or diffusion events may …
Delocalization-localization dynamical phase transition of random walks on graphs
We consider random walks evolving on two models of connected and undirected graphs
and study the exact large deviations of a local dynamical observable. We prove, in the …
and study the exact large deviations of a local dynamical observable. We prove, in the …