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Publications Influence

The One-Dimensional Hubbard Model

- F. Essler, H. Frahm, F. Göhmann, A. Klümper, V. Korepin
- Mathematics, Physics
- 1 May 1994

Preface 1. Introduction 2. The Hubbard Hamiltonian and its symmetries 3. The Bethe ansatz solution 4. String hypothesis 5. Thermodynamics in the Yang-Yang approach 6. Ground state properties in the… Expand

460 46

Complete Generalized Gibbs Ensembles in an Interacting Theory.

- E. Ilievski, J. De Nardis, B. Wouters, J.-S. Caux, F. Essler, T. Prosen
- Physics, Medicine
- Physical review letters
- 10 July 2015

In integrable many-particle systems, it is widely believed that the stationary state reached at late times after a quantum quench can be described by a generalized Gibbs ensemble (GGE) constructed… Expand

229 11- PDF

Exact spectral gaps of the asymmetric exclusion process with open boundaries

We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary conditions. By… Expand

139 10- PDF

Time evolution of local observables after quenching to an integrable model.

- Jean-Sébastien Caux, F. Essler
- Physics, Medicine
- Physical review letters
- 16 January 2013

We consider quantum quenches in integrable models. We argue that the behavior of local observables at late times after the quench is given by their expectation values with respect to a single… Expand

276 9- PDF

Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra

- R. Blythe, M. Evans, F. Colaiori, F. Essler
- Mathematics, Physics
- 15 October 1999

We study the partially asymmetric exclusion process with open boundaries. We generalize the matrix approach previously used to solve the special case of total asymmetry and derive exact expressions… Expand

113 8- PDF

Quench dynamics and relaxation in isolated integrable quantum spin chains

- F. Essler, M. Fagotti
- Physics
- 21 March 2016

We review the dynamics after quantum quenches in integrable quantum spin chains. We give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the description of the… Expand

239 7- PDF

Bethe ansatz solution of the asymmetric exclusion process with open boundaries.

- J. de Gier, F. Essler
- Physics, Medicine
- Physical review letters
- 29 August 2005

We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary conditions. For… Expand

170 7- PDF

Representations of the quadratic algebra and partially asymmetric diffusion with open boundaries

- F. Essler, V. Rittenberg
- Mathematics, Physics
- 28 June 1995

We consider the one-dimensional partially asymmetric exclusion model with open boundaries. The model describes a system of hard-core particles that hop stochastically in both directions with… Expand

143 6- PDF

REDUCED DENSITY MATRIX AFTER A QUANTUM QUENCH

- M. Fagotti, F. Essler
- Physics, Mathematics
- 27 February 2013

We consider the reduced density matrix (RDM) \rho_A(t) for a finite subsystem A after a global quantum quench in the infinite transverse-field Ising chain. It has been recently shown that the… Expand

152 5- PDF

Parity effects in the scaling of block entanglement in gapless spin chains.

- P. Calabrese, M. Campostrini, F. Essler, B. Nienhuis
- Physics, Medicine
- Physical review letters
- 24 November 2009

We consider the Rényi alpha entropies for Luttinger liquids (LL). For large block lengths l, these are known to grow like lnl. We show that there are subleading terms that oscillate with frequency… Expand

105 5- PDF