WFRF:(Moosavi Per)
Search: WFRF:(Moosavi Per) > Non-equilibrium dyn...
- 9 of 9
- Previous record
- Next record
- To hitlist
Non-equilibrium dynamics of exactly solvable quantum many-body systems
-
- Moosavi, Per (author)
- KTH,Fysik
-
- Langmann, Edwin, Professor (thesis advisor)
- KTH,Fysik
-
- Bernard, Denis, Professor (opponent)
- École Normale Supérieure
- (creator_code:org_t)
- ISBN 9789178730322
- Stockholm, Sweden : KTH Royal Institute of Technology, 2018
- English 94 s.
- Series: TRITA-SCI-FOU ; 2018:49
- Doctoral thesis (other academic/artistic)
Abstract
Subject headings
Close
- Recent experimental advances on ultracold atomic gases and trapped ions have made it possible to simulate exactly solvable quantum systems of interacting particles. In particular, the feasibility of making rapid changes, so-called quantum quenches, to such set-ups has allowed experimentalists to probe non-equilibrium phenomena in closed interacting quantum systems. This, in turn, has spurred a considerable theoretical interest in quantum many-body systems out of equilibrium.In this thesis, we study non-equilibrium properties of quantum many-body systems in the framework of exactly solvable quantum field theory in one spatial dimension. Specific systems include interacting fermions described by the Luttinger model and effective descriptions of spin chains using conformal field theory (CFT). Special emphasis is placed on heat and charge transport, studied from the point of view of quench dynamics, and, in particular, the effects of breaking conformal symmetries on transport properties. Examples include the Luttinger model with non-local interactions, breaking Lorentz and scale invariance, and inhomogeneous CFT, which generalizes standard CFT in that the usual propagation velocity v is replaced by a function v(x) that depends smoothly on the position x, breaking translation invariance.The quench dynamics studied here is for quantum quenches between, in general, different smooth inhomogeneous systems. An example of this is the so-called smooth-profile protocol, in which the initial state is defined by, e.g., smooth inhomogeneous profiles of inverse temperature and chemical potential, and the time evolution is governed by a homogeneous Hamiltonian. Using this protocol, we compute exact analytical results for the full time evolution of the systems mentioned above. In particular, we derive finite-time results that are universal in the sense that the same relations between the non-equilibrium dynamics and the initial profiles hold for any unitary CFT. These results also make clear that heat and charge transport in standard CFT are purely ballistic.Finally, we propose and study an inhomogeneous CFT model with v(x) given by a random function. We argue that this model naturally emerges as an effective description of one-dimensional quantum many-body systems with certain static random impurities. Using tools from wave propagation in random media, we show that such impurities lead to normal and anomalous diffusive contributions to heat transport on top of the ballistic one known from standard CFT.
Subject headings
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Keyword
- Fysik
- Physics
Publication and Content Type
- vet (subject category)
- dok (subject category)
Find in a library
- Non-equilibrium dynamics of exactly solvable quantum many-body systems (Search the publication in LIBRIS)
To the university's database
- 9 of 9
- Previous record
- Next record
- To hitlist
Find more in SwePub
- By the author/editor
- Moosavi, Per
- Langmann, Edwin, ...
- Bernard, Denis, ...
- About the subject
-
- NATURAL SCIENCES
- NATURAL SCIENCES
- and Physical Science ...
- Parts in the series
- TRITA-SCI-FOU ;
- By the university
- Royal Institute of Technology
Search outside SwePub
- Extend your search to:
- Google Book Search
- Google Scholar
Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.
- Copyright © LIBRIS - National Library Systems
- LIBRIS.kb.se
