Dissipative dynamics for infinite lattice systems
File(s)
Accepted version
Author(s)
Mehta, Shreya
Zegarlinski, Boguslaw
Type
Journal Article
Abstract
We study dissipative dynamics constructed by means of non-commutative Dirichlet forms for various lattice systems with multiparticle interactions associated to CCR algebras. We give a number of explicit examples of such models. Using an idea of quasi-invariance of a state, we show how one can construct unitary representations of various groups. Moreover in models with locally conserved quantities associated to an infinite lattice we show that there is no spectral gap and the corresponding dissipative dynamics decay to equilibrium polynomially in time.
Date Issued
2025-03-01
Date Acceptance
2023-12-03
Citation
Infinite Dimensional Analysis Quantum Probability and related topics, 2025, 28 (1)
ISSN
0219-0257
Publisher
World Scientific Publishing
Journal / Book Title
Infinite Dimensional Analysis Quantum Probability and related topics
Volume
28
Issue
1
Copyright Statement
Copyright Electronic version of an article published as Infinite Dimensional Analysis, Quantum Probability and Related Topics 2024 https://doi.org/10.1142/S0219025723500303 © copyright World Scientific Publishing Company https://www.worldscientific.com/doi/pdf/10.1142/S0219025723500303. Mehta, Shreya, and Boguslaw Zegarlinski. "Dissipative dynamics for infinite lattice systems." Infinite Dimensional Analysis, Quantum Probability and Related Topics (2024).
Identifier
https://www.worldscientific.com/doi/10.1142/S0219025723500303
Publication Status
Published
Rights Embargo Date
2025-03-10
Article Number
2350030
Date Publish Online
2024-03-11