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Finite-Time Universality in Nonequilibrium CFT
KTH, Skolan för teknikvetenskap (SCI), Fysik, Kondenserade materiens teori. Univ Claude Bernard, Univ Lyon, ENS Lyon, CNRS,Lab Phys, F-69342 Lyon, France..ORCID-id: 0000-0001-7481-2245
KTH, Skolan för teknikvetenskap (SCI), Fysik, Kondenserade materiens teori.ORCID-id: 0000-0003-0011-2937
Ecole Normale Supérieure de Lyon, Lyon, France.
2018 (Engelska)Ingår i: Journal of statistical physics, ISSN 0022-4715, E-ISSN 1572-9613, Vol. 172, nr 2, s. 353-378Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

Recently, remarkably simple exact results were presented about the dynamics of heat transport in the local Luttinger model for nonequilibrium initial states defined by position-dependent temperature profiles. We present mathematical details on how these results were obtained. We also give an alternative derivation using only algebraic relations involving the energy-momentum tensor which hold true in any unitary conformal field theory (CFT). This establishes a simple universal correspondence between initial temperature profiles and the resulting heat-wave propagation in CFT. We extend these results to larger classes of nonequilibrium states. It is proposed that such universal CFT relations provide benchmarks to identify nonuniversal properties of nonequilibrium dynamics in other models.

Ort, förlag, år, upplaga, sidor
Springer, 2018. Vol. 172, nr 2, s. 353-378
Nyckelord [en]
Nonequilibrium dynamics, Conformal field theory, Heat and charge transport, Luttinger model
Nationell ämneskategori
Den kondenserade materiens fysik
Identifikatorer
URN: urn:nbn:se:kth:diva-232397DOI: 10.1007/s10955-018-2025-xISI: 000437829200004Scopus ID: 2-s2.0-85044457468OAI: oai:DiVA.org:kth-232397DiVA, id: diva2:1235671
Forskningsfinansiär
Vetenskapsrådet, 2016-05167
Anmärkning

QC 20180726

Tillgänglig från: 2018-07-26 Skapad: 2018-07-26 Senast uppdaterad: 2019-05-20Bibliografiskt granskad
Ingår i avhandling
1. Non-equilibrium dynamics of exactly solvable quantum many-body systems
Öppna denna publikation i ny flik eller fönster >>Non-equilibrium dynamics of exactly solvable quantum many-body systems
2018 (Engelska)Doktorsavhandling, sammanläggning (Övrigt vetenskapligt)
Abstract [en]

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.

Ort, förlag, år, upplaga, sidor
Stockholm, Sweden: KTH Royal Institute of Technology, 2018. s. 94
Serie
TRITA-SCI-FOU ; 2018:49
Nationell ämneskategori
Fysik
Forskningsämne
Fysik
Identifikatorer
urn:nbn:se:kth:diva-239155 (URN)978-91-7873-032-2 (ISBN)
Disputation
2018-12-14, FD5, AlbaNova University Center, KTH Royal Institute of Technology, Stockholm, 10:00
Opponent
Handledare
Anmärkning

QC 20181119

Tillgänglig från: 2018-11-19 Skapad: 2018-11-16 Senast uppdaterad: 2018-11-21Bibliografiskt granskad

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Langmann, EdwinMoosavi, Per

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Totalt: 281 träffar
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