Quantum Kibble-Zurek mechanism: Kink correlations after a quench in the quantum Ising chain

  title={Quantum Kibble-Zurek mechanism: Kink correlations after a quench in the quantum Ising chain},
  author={Radosław Nowak and Jacek Dziarmaga},
  journal={Physical Review B},
The transverse field in the quantum Ising chain is linearly ramped from the parato the ferromagnetic phase across the quantum critical point at a rate characterized by a quench time τQ. We calculate a connected kinkkink correlator in the final state at zero transverse field. The correlator is a sum of two terms: a negative (anti-bunching) Gaussian that depends on the Kibble-Zurek (KZ) correlation length only and a positive term that depends on a second longer scale of length. The second length… Expand

Figures from this paper


Dynamics and correlations at a quantum phase transition beyond Kibble-Zurek
When a quantum phase transition is traversed by tuning a parameter of a Hamiltonian, Kibble-Zurek (KZ) theory stands out as the most robust theory of defect generation in such a process. We show howExpand
Distribution of kinks in an Ising ferromagnet after annealing and the generalized Kibble-Zurek mechanism
Jack J. Mayo, 2, 3 Zhijie Fan, Gia-Wei Chern, and Adolfo del Campo 1, 6, 7 Donostia International Physics Center, E-20018 San Sebastián, Spain University of Groningen, 9712 CP Groningen, NetherlandsExpand
Quantum phases of matter on a 256-atom programmable quantum simulator.
This work demonstrates a programmable quantum simulator based on deterministically prepared two-dimensional arrays of neutral atoms, featuring strong interactions controlled by coherent atomic excitation into Rydberg states, and realizes a quantum spin model with tunable interactions for system sizes ranging from 64 to 256 qubits. Expand
Quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms.
This work uses programmable arrays of individual atoms trapped in optical tweezers, with interactions controlled by laser excitation to Rydberg states, to implement an iconic many-body problem-the antiferromagnetic two-dimensional transverse-field Ising model, and demonstrates that this platform can be readily used to address open questions in many- body physics. Expand
Adiabatic dynamics of quasiperiodic transverse Ising model
We study the non-equilibrium dynamics due to slowly taking a quasiperiodic Hamiltonian across its quantum critical point. The special quasiperiodic Hamiltonian that we study here has two differentExpand
Dynamics of longitudinal magnetization in transverse-field quantum Ising model: from symmetry-breaking gap to Kibble–Zurek mechanism
We show that the symmetry-breaking gap of the quantum Ising model in the transverse field can be extracted from free evolution of the longitudinal magnetization taking place after a gradual quench ofExpand
Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
A Rydberg atom quantum simulator with programmable interactions is used to experimentally verify the quantum Kibble–Zurek mechanism through the growth of spatial correlations during quantum phase transitions, and is subsequently used to measure the critical exponents associated with chiral clock models. Expand
Defects in Quantum Computers
A test based on an exactly solvable many body system–the quantum Ising chain in transverse field–and implement it on the D-Wave machine to assess how quantum or adiabatic is a specific hardware. Expand
Dynamical equilibration across a quenched phase transition in a trapped quantum gas
The formation of an equilibrium state from an uncorrelated thermal one through the dynamical crossing of a phase transition is a central question of quantum many-body physics. During such crossing,Expand
Critical Phenomena and Kibble-Zurek Scaling in the Long-Range Quantum Ising Chain
We investigate an extension of the quantum Ising model in one spatial dimension including long-range $1 / r^{\alpha}$ interactions in its statics and dynamics with possible applications fromExpand