Quantum phase transition dynamics in the two-dimensional transverse-field Ising model

M Schmitt, MM Rams, J Dziarmaga, M Heyl… - Science …, 2022 - science.org
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 …

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 …

Non-abelian anyons and non-abelian vortices in topological superconductors

Y Masaki, T Mizushima, M Nitta - arXiv preprint arXiv:2301.11614, 2023 - arxiv.org
Anyons are particles obeying statistics of neither bosons nor fermions. Non-Abelian anyons,
whose exchanges are described by a non-Abelian group acting on a set of wave functions …

Coherent many-body oscillations induced by a superposition of broken symmetry states in the wake of a quantum phase transition

J Dziarmaga, MM Rams, WH Zurek - Physical Review Letters, 2022 - APS
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 …

Generalized Kibble-Zurek mechanism for defects formation in trapped ions

W Wen, S Zhu, Y Xie, B Ou, W Wu, P Chen… - Science China Physics …, 2023 - Springer
Abstract The Kibble-Zurek (KZ) mechanism has played a fundamental role in defect
formation with universal scaling laws in nonequilibrium phase transitions. However, this …

Vortex-bound solitons in topological superfluid 3He

JT Mäkinen, K Zhang, VB Eltsov - Journal of Physics: Condensed …, 2023 - iopscience.iop.org
The different superfluid phases of 3 He are described by p-wave order parameters that
include anisotropy axes both in the orbital and spin spaces. The anisotropy axes …

Out-of-equilibrium dynamics arising from slow round-trip variations of Hamiltonian parameters across quantum and classical critical points

F Tarantelli, E Vicari - Physical Review B, 2022 - APS
We address the out-of-equilibrium dynamics of many-body systems subject to time-
dependent round-trip protocols across quantum and classical (thermal) phase transitions …

Inhomogeneous adiabatic preparation of a quantum critical ground state in two dimensions

I Sokolov, FA Bayocboc Jr, MM Rams, J Dziarmaga - Physical Review B, 2024 - APS
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 …

Topographic control of order in quasi-2d granular phase transitions

JG Downs, ND Smith, KK Mandadapu, JP Garrahan… - Physical Review Letters, 2021 - APS
We experimentally investigate the nature of 2D phase transitions in a quasi-2D granular
fluid. Using a surface decorated with periodically spaced dimples we observe interfacial …

Biased dynamics of the miscible-immiscible quantum phase transition in a binary Bose-Einstein condensate

FA Bayocboc Jr, J Dziarmaga, WH Zurek - Physical Review B, 2024 - APS
A quantum phase transition from the miscible to the immiscible phase of a quasi-one-
dimensional binary Bose-Einstein condensate is driven by ramping down the coupling …