• Letter

Long-range order and quantum criticality in a dissipative spin chain

Matthew W. Butcher, J. H. Pixley, and Andriy H. Nevidomskyy
Phys. Rev. B 105, L180407 – Published 16 May 2022

Abstract

The environmental interaction is a fundamental consideration in any controlled quantum system. While an interaction with a dissipative bath can lead to decoherence, it can also provide desirable emergent effects including induced spin-spin correlations. In this Letter, we show that under quite general conditions, a dissipative bosonic bath can induce a long-range ordered phase, without the inclusion of any additional direct spin-spin couplings. Through a quantum-to-classical mapping and classical Monte Carlo simulation, we investigate the T=0 quantum phase transition of an Ising chain embedded in a bosonic bath with Ohmic dissipation. We show that the quantum critical point is continuous, Lorentz invariant with a dynamical critical exponent z=1.07(9), has a correlation length exponent ν=0.80(5), and anomalous exponent η=1.02(6), thus the universality class is distinct from the previously studied limiting cases. The implications of our results on experiments in ultracold atomic mixtures and qubit chains in dissipative environments are discussed.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 12 July 2021
  • Revised 28 April 2022
  • Accepted 2 May 2022

DOI:https://doi.org/10.1103/PhysRevB.105.L180407

©2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

Matthew W. Butcher1, J. H. Pixley2,3,4, and Andriy H. Nevidomskyy1

  • 1Department of Physics & Astronomy, Rice University, Houston, Texas 77005, USA
  • 2Department of Physics and Astronomy, Center for Materials Theory, Rutgers University, Piscataway, New Jersey 08854, USA
  • 3Center for Computational Quantum Physics, Flatiron Institute, 162 5th Avenue, New York, New York 10010, USA
  • 4Physics Department, Princeton University, Princeton, New Jersey 08544, USA

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 105, Iss. 18 — 1 May 2022

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×