|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'585
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Symmetry classes of open fermionic quantum matter | | Alexander Altland
; Michael Fleischhauer
; Sebastian Diehl
; | | Date: |
20 Jul 2020 | | Abstract: | We present a full symmetry classification of dissipatively evolving fermion
matter. Our approach is bottom up, starting from the ten different classes of
linear and anti-linear state transformations in fermionic Fock spaces. Both in
unitary quantum mechanics and in the ’micro-reversible’ settings of thermal
equilibrium, the anti-linear transformations in conjunction with an explicit
inversion of physical time represent time reversal. However, out of equilibrium
time reversal becomes meaningless, while the anti-linear transformations in
Fock space remain significant and now must be considered in autonomy. Their
different implementation and its consequences for the understanding of fermion
symmetries out of equilibrium is the central motif of our study. Following the
logic of the bottom up approach, we address the question under which conditions
the irreversible evolution equations describing the quantum dynamics of fermion
matter remain invariant under the application of Fock space transformations.
This defines ten symmetry classes, separately for the generators of reversible
dynamics, dissipation and fluctuations featuring in these equations. We discuss
their physical manifestation both for interacting systems in the second
quantized Fock space formalism, and for the evolution of free fermion Gaussian
states of matter, where the language of non-Hermitian matrices is used.
Emphasis will be put on the stationary phases forming as end points of
dissipative evolution, and in particular on the ensuing symmetry protected
topological phases of dissipative matter. The starting point of ten Fock space
symmetries implies a transparent classification of these phases and defines
non-equilibrium blueprints for their realization from first principles, as we
will demonstrate on the exemplary case study of an interacting lattice model. | | Source: | arXiv, 2007.10448 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER