Dynamics of a quantum phase transition and relaxation to a steady state

J Dziarmaga - Advances in Physics, 2010 - Taylor & Francis
We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

Excited-state quantum phase transitions

P Cejnar, P Stránský, M Macek… - Journal of Physics A …, 2021 - iopscience.iop.org
We review the effects of excited-state quantum phase transitions (ESQPTs) in interacting
many-body systems with finite numbers of collective degrees of freedom. We classify typical …

Quantum phase transition in the one-dimensional water chain

T Serwatka, RG Melko, A Burkov, PN Roy - Physical Review Letters, 2023 - APS
The concept of quantum phase transitions (QPTs) plays a central role in the description of
condensed matter systems. In this Letter, we perform high-quality wave-function-based …

NMR Implementation of a Molecular Hydrogen Quantum Simulation<? format?> with Adiabatic State Preparation

J Du, N Xu, X Peng, P Wang, S Wu, D Lu - Physical review letters, 2010 - APS
It is difficult to simulate quantum systems on classical computers, while quantum computers
have been proved to be able to efficiently perform such kinds of simulations. We report an …

Quantum factorization of 143 on a dipolar-coupling nuclear magnetic resonance system

N Xu, J Zhu, D Lu, X Zhou, X Peng, J Du - Physical review letters, 2012 - APS
Quantum algorithms could be much faster than classical ones in solving the factoring
problem. Adiabatic quantum computation for this is an alternative approach other than …

Quantum quench of an atomic Mott insulator

D Chen, M White, C Borries, B DeMarco - Physical Review Letters, 2011 - APS
We study quenches across the Bose-Hubbard Mott-insulator-to-superfluid quantum phase
transition by using an ultracold atomic gas trapped in an optical lattice. Quenching from the …

Designing quantum annealing schedules using Bayesian optimization

JR Finžgar, MJA Schuetz, JK Brubaker, H Nishimori… - Physical Review …, 2024 - APS
We propose and analyze the use of Bayesian optimization techniques to design quantum
annealing schedules with minimal user and resource requirements. We showcase our …

Quantum annealing with antiferromagnetic fluctuations

Y Seki, H Nishimori - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
We introduce antiferromagnetic quantum fluctuations into quantum annealing in addition to
the conventional transverse-field term. We apply this method to the infinite-range …

Quantum adiabatic brachistochrone

AT Rezakhani, WJ Kuo, A Hamma, DA Lidar… - Physical review letters, 2009 - APS
We formulate a time-optimal approach to adiabatic quantum computation (AQC). A
corresponding natural Riemannian metric is also derived, through which AQC can be …

Adiabatic approximation with exponential accuracy for many-body systems and quantum computation

DA Lidar, AT Rezakhani, A Hamma - Journal of Mathematical Physics, 2009 - pubs.aip.org
We derive a version of the adiabatic theorem that is especially suited for applications in
adiabatic quantum computation, where it is reasonable to assume that the adiabatic …