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Theoretical physicists working at a blackboard collaboration pod in the Beecroft building.
Credit: Jack Hobhouse

Professor Fabian Essler

Professorial Research Fellow

Research theme

  • Fields, strings, and quantum dynamics
  • Quantum materials

Sub department

  • Rudolf Peierls Centre for Theoretical Physics

Research groups

  • Condensed Matter Theory
Fabian.Essler@physics.ox.ac.uk
Telephone: 01865 (2)73971
Rudolf Peierls Centre for Theoretical Physics, room 70.12
www-thphys.physics.ox.ac.uk/people/FabianEssler
  • About
  • Publications

Lifted TASEP: long-time dynamics,generalizations, and continuum limit

(2025)

Authors:

Fabian HL Essler, Jeanne Gipouloux, Werner Krauth
More details from the publisher
Details from ArXiV

Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets

SciPost Physics Stichting SciPost 17:5 (2024) 139

Authors:

Riccardo Senese, Jacob Robertson, Fabian Essler
More details from the publisher

Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems

(2024)

Authors:

M Fava, S Gopalakrishnan, R Vasseur, SA Parameswaran, FHL Essler
Details from ArXiV

Lifted TASEP: A Solvable Paradigm for Speeding up Many-Particle Markov Chains

Physical Review X American Physical Society (APS) 14:4 (2024) 041035

Authors:

Fabian HL Essler, Werner Krauth
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Statistics of matrix elements of local operators in integrable models

Physical Review X American Physical Society 14:3 (2024) 031048

Authors:

Fabian Essler, Bart de Klerk

Abstract:

We study the statistics of matrix elements of local operators in the basis of energy eigenstates in a paradigmatic, integrable, many-particle quantum theory, the Lieb-Liniger model of bosons with repulsive delta-function interactions. Using methods of quantum integrability, we determine the scaling of matrix elements with system size. As a consequence of the extensive number of conservation laws, the structure of matrix elements is fundamentally different from, and much more intricate than, the predictions of the eigenstate thermalization hypothesis for generic models. We uncover an interesting connection between this structure for local operators in interacting integrable models and the one for local operators that are not local with respect to the elementary excitations in free theories. We find that typical off-diagonal matrix elements ⟨𝝁⁒|π’ͺ|β’π€βŸ© in the same macrostate scale as exp⁑(βˆ’π‘π’ͺ⁒𝐿⁒ln⁑(𝐿)βˆ’πΏβ’π‘€π’ͺ 𝝁,𝝀), where the probability distribution function for 𝑀π’ͺ 𝝁,𝝀 is well described by FrΓ©chet distributions and 𝑐π’ͺ depends only on macrostate information. In contrast, typical off-diagonal matrix elements between two different macrostates scale as exp⁑(βˆ’π‘‘π’ͺ⁒𝐿2), where 𝑑π’ͺ depends only on macrostate information. Diagonal matrix elements depend only on macrostate information up to finite-size corrections.
More details from the publisher
Details from ORA

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