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Dynamical scaling of correlations generated by short- and long-range dissipation

Kushal Seetharam
(
- MIT and
- Harvard U.
)
,
Alessio Lerose
(
- Geneva U. and
- SISSA, Trieste and
- INFN, Trieste
)
,
Rosario Fazio
(
- ICTP, Trieste and
- Naples U.
)
,
Jamir Marino
(
- Harvard U. and
- Mainz U., Inst. Phys.
)

Oct 18, 2021

13 pages

Published in:

Phys.Rev.B 105 (2022) 18, 184305

Published: May 1, 2022

e-Print:

2110.09547 [cond-mat.quant-gas]

DOI:

10.1103/PhysRevB.105.184305 (publication)

View in:

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Abstract: (APS)

We study the spatiotemporal spreading of correlations in an ensemble of spins due to dissipation characterized by short- and long-range spatial profiles. Such emission channels can be synthesized with tunable spatial profiles in lossy cavity QED experiments using a magnetic field gradient and a Raman drive with multiple sidebands. We consider systems initially in an uncorrelated state, and find that correlations widen and contract in a novel pattern intimately related to both the dissipative nature of the dynamical channel and its spatial profile. Additionally, we make a methodological contribution by generalizing nonequilibrium spin-wave theory to the case of dissipative systems and derive equations of motion for any translationally invariant spin chain whose dynamics can be described by a combination of Hamiltonian interactions and dissipative Lindblad channels. Our work aims at extending the study of correlation dynamics to purely dissipative quantum simulators and compare them with the established paradigm of correlations spreading in Hamiltonian systems.

Note:

10 pages, 2 figures, builds on topic introduced in arXiv:2101.06445v2

correlation: short-range
correlation: long-range
spin: chain
dissipation
coherent state
Hamiltonian
field equations
scaling

References(112)

Figures(3)

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