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  Dissipation-Induced Order: The S=1/2 Quantum Spin Chain Coupled to an Ohmic Bath

Weber, M., Luitz, D. J., & Assad, F. F. (2022). Dissipation-Induced Order: The S=1/2 Quantum Spin Chain Coupled to an Ohmic Bath. Physical Review Letters, 129(5): 056402. doi:10.1103/PhysRevLett.129.056402.

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Weber, Manuel1, Author           
Luitz, David J.1, Author           
Assad, Fakher F.2, Author
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1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              
2external, ou_persistent22              

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 Abstract: We consider an S = 1/2 antiferromagnetic quantum Heisenberg chain where each site is coupled to an independent bosonic bath with ohmic dissipation. The coupling to the bath preserves the global SO(3) spin symmetry. Using large-scale, approximation-free quantum Monte Carlo simulations, we show that any finite coupling to the bath suffices to stabilize long-range antiferromagnetic order. This is in stark contrast to the isolated Heisenberg chain where spontaneous breaking of the SO(3) symmetry is forbidden by the Mermin-Wagner theorem. A linear spin-wave theory analysis confirms that the memory of the bath and the concomitant retarded interaction stabilize the order. For the Heisenberg chain, the ohmic bath is a marginal perturbation so that exponentially large system sizes are required to observe long-range order at small couplings. Below this length scale, our numerics is dominated by a crossover regime where spin correlations show different power-law behaviors in space and time. We discuss the experimental relevance of this crossover phenomena.

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Language(s): eng - English
 Dates: 2022-07-292022-07-29
 Publication Status: Issued
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Title: Physical Review Letters
  Abbreviation : Phys. Rev. Lett.
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. : American Physical Society
Pages: - Volume / Issue: 129 (5) Sequence Number: 056402 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: https://pure.mpg.de/cone/journals/resource/954925433406_1