Coherent and dissipative dynamics at quantum phase transitions
The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …
Quantum phase transition dynamics in the two-dimensional transverse-field Ising model
The quantum Kibble-Zurek mechanism (QKZM) predicts universal dynamical behavior near
the quantum phase transitions (QPTs). It is now well understood for the one-dimensional …
the quantum phase transitions (QPTs). It is now well understood for the one-dimensional …
Topological defect formation in a phase transition with tunable order
The Kibble-Zurek mechanism (KZM) describes the nonequilibrium dynamics and topological
defect formation in systems undergoing second-order phase transitions. KZM has found …
defect formation in systems undergoing second-order phase transitions. KZM has found …
Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to the superfluid phase in the two-dimensional Bose-Hubbard model
J Dziarmaga, JM Mazur - Physical Review B, 2023 - APS
Quantum simulations of the Bose-Hubbard model (BHM) at commensurate filling can follow
spreading of correlations after a sudden quench for times long enough to estimate their …
spreading of correlations after a sudden quench for times long enough to estimate their …
Dynamic Kibble-Zurek scaling framework for open dissipative many-body systems crossing quantum transitions
We study the quantum dynamics of many-body systems, in the presence of dissipation due
to the interaction with the environment, under Kibble-Zurek (KZ) protocols in which one …
to the interaction with the environment, under Kibble-Zurek (KZ) protocols in which one …
Distribution of kinks in an Ising ferromagnet after annealing and the generalized Kibble-Zurek mechanism
We consider the annealing dynamics of a one-dimensional Ising ferromagnet induced by a
temperature quench in finite time. In the limit of slow cooling, the asymptotic two-point …
temperature quench in finite time. In the limit of slow cooling, the asymptotic two-point …
Inhomogeneous adiabatic preparation of a quantum critical ground state in two dimensions
Adiabatic preparation of a critical ground state is hampered by the closing of its energy gap
as the system size increases. However, this gap is directly relevant only for a uniform ramp …
as the system size increases. However, this gap is directly relevant only for a uniform ramp …
Universality of Bose-Einstein Condensation and Quenched Formation Dynamics
NP Proukakis - arxiv preprint arxiv:2304.09541, 2023 - arxiv.org
The emergence of macroscopic coherence in a many-body quantum system is a ubiquitous
phenomenon across different physical systems and scales. This Chapter reviews key …
phenomenon across different physical systems and scales. This Chapter reviews key …
Coherent many-body oscillations induced by a superposition of broken symmetry states in the wake of a quantum phase transition
It is now widely accepted that quenches through the critical region of quantum phase
transitions result in post-transition states populated with topological defects—analogs of the …
transitions result in post-transition states populated with topological defects—analogs of the …
Kibble-Zurek dynamics in a trapped ultracold Bose gas
The dynamical evolution of an inhomogeneous ultracold atomic gas quenched at different
controllable rates through the Bose-Einstein condensation phase transition is studied …
controllable rates through the Bose-Einstein condensation phase transition is studied …