Universality Class of Ising Critical States with Long-Range Losses
Marino J (2022)
Publication Type: Journal article
Publication year: 2022
Journal
Book Volume: 129
Article Number: 050603
Journal Issue: 5
DOI: 10.1103/PhysRevLett.129.050603
Abstract
We show that spatial resolved dissipation can act on d-dimensional spin systems in the Ising universality class by qualitatively modifying the nature of their critical points. We consider power-law decaying spin losses with a Lindbladian spectrum closing at small momenta as qα, with α a positive tunable exponent directly related to the power-law decay of the spatial profile of losses at long distances, 1/r(α+d). This yields a class of soft modes asymptotically decoupled from dissipation at small momenta, which are responsible for the emergence of a critical scaling regime ascribable to the nonunitary counterpart of the universality class of long-range interacting Ising models. For α<1 we find a nonequilibrium critical point ruled by a dynamical field theory described by a Langevin model with coexisting inertial (∼∂t2) and frictional (∼∂t) kinetic coefficients, and driven by a gapless Markovian noise with variance qα at small momenta. This effective field theory is beyond the Halperin-Hohenberg description of dynamical criticality, and its critical exponents differ from their unitary long-range counterparts. Our Letter lays out perspectives for a revision of universality in driven open systems by employing dark states tailored by programmable dissipation.
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Germany (DE)How to cite
APA:
Marino, J. (2022). Universality Class of Ising Critical States with Long-Range Losses. Physical Review Letters, 129(5). https://doi.org/10.1103/PhysRevLett.129.050603
MLA:
Marino, Jamir. "Universality Class of Ising Critical States with Long-Range Losses." Physical Review Letters 129.5 (2022).
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