New dynamical scaling universality for quantum networks across adiabatic quantum phase transitions
arXiv:1312.5288 · doi:10.1103/PhysRevLett.112.030403
Abstract
We reveal universal dynamical scaling behavior across adiabatic quantum phase transitions (QPTs) in networks ranging from traditional spatial systems (Ising model) to fully connected ones (Dicke and Lipkin-Meshkov-Glick models). Our findings, which lie beyond traditional critical exponent analysis and adiabatic perturbation approximations, are applicable even where excitations have not yet stabilized and hence provide a time-resolved understanding of QPTs encompassing a wide range of adiabatic regimes. We show explicitly that even though two systems may traditionally belong to the same universality class, they can have very different adiabatic evolutions. This implies more stringent conditions need to be imposed than at present, both for quantum simulations where one system is used to simulate the other, and for adiabatic quantum computing schemes.
5 pages, 3 figures, plus supplementary material (6 pages, 1 figure)
References in corpus (13)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Universal adiabatic dynamics across a quantum critical point
- Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
- Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
- Breakdown of the adiabatic limit in low dimensional gapless systems
- Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
- Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
- Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
- Non-adiabacity and large flucutations in a many particle Landau Zener problem
- Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement
- Many body generalization of the Landau Zener problem
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