238 citations · 1.8k across the 28 of their papers we have counts for
28 papers
Exact time evolution formulae in the XXZ spin chain with domain wall initial state
Jean-Marie Stéphan
We study the time evolution of the spin-1/2 XXZ chain initialized in a domain wall state, where all spins to the left of the origin are up, all spins to its right are down. The foc…
Ergodic Edge Modes in the 4D Quantum Hall Effect
Benoit Estienne, Blagoje Oblak, Jean-Marie Stéphan
The gapless modes on the edge of four-dimensional (4D) quantum Hall droplets are known to be anisotropic: they only propagate in one direction, foliating the 3D boundary into indep…
Cornering the universal shape of fluctuations
Benoit Estienne, Jean-Marie Stéphan, William Witczak-Krempa
Understanding the fluctuations of observables is one of the main goals in science, be it theoretical or experimental, quantum or classical. We investigate such fluctuations when on…
The boundary density profile of a Coulomb droplet. Freezing at the edge
Gabriel Cardoso, Jean-Marie Stéphan, Alexander G. Abanov
We revisit the problem of computing the boundary density profile of a droplet of two-dimensional one-component plasma (2D OCP) with logarithmic interaction between particles in a c…
Entanglement spectroscopy of chiral edge modes in the Quantum Hall effect
Benoit Estienne, Jean-Marie Stéphan
We investigate the entanglement entropy in the Integer Quantum Hall effect in the presence of an edge, performing an exact calculation directly from the microscopic two-dimensional…
Entanglement entropies of inhomogeneous Luttinger liquids
Alvise Bastianello, Jérôme Dubail, Jean-Marie Stéphan
We develop a general framework to compute the scaling of entanglement entropy in inhomogeneous one-dimensional quantum systems belonging to the Luttinger liquid universality class.…
Free fermions at the edge of interacting systems
Jean-Marie Stéphan
We study the edge behavior of inhomogeneous one-dimensional quantum systems, such as Lieb-Liniger models in traps or spin chains in spatially varying magnetic fields. For free syst…
Return probability after a quench from a domain wall initial state in the spin-1/2 XXZ chain
Jean-Marie Stéphan
We study the return probability and its imaginary () time continuation after a quench from a domain wall initial state in the XXZ spin chain, focusing mainly on the region with…
Universal terms in the overlap of the ground state of the spin-1/2 XXZ chain with the Néel state
Michael Brockmann, Jean-Marie Stéphan
We analyze universal terms that appear in the large system size scaling of the overlap between the Néel state and the ground state of the spin-1/2 XXZ chain in the antiferromagneti…
Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids
Jérôme Dubail, Jean-Marie Stéphan, Pasquale Calabrese
The light-cone spreading of entanglement and correlation is a fundamental and ubiquitous feature of homogeneous extended quantum systems. Here we point out that a class of inhomoge…
Full counting statistics in the Haldane-Shastry chain
Jean-Marie Stéphan, Frank Pollmann
We present analytical and numerical results regarding the magnetization full counting statistics (FCS) of a subsystem in the ground-state of the Haldane-Shastry chain. Exact Pfaffi…
Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases
Jérôme Dubail, Jean-Marie Stéphan, Jacopo Viti +1
Conformal field theory (CFT) has been extremely successful in describing large-scale universal effects in one-dimensional (1D) systems at quantum critical points. Unfortunately, it…
Inhomogeneous field theory inside the arctic circle
Nicolas Allegra, Jérôme Dubail, Jean-Marie Stéphan +1
Motivated by quantum quenches in spin chains, a one-dimensional toy-model of fermionic particles evolving in imaginary-time from a domain-wall initial state is solved. The main int…
Overlap distributions for quantum quenches in the anisotropic Heisenberg chain
Paolo P. Mazza, Jean-Marie Stéphan, Elena Canovi +3
The dynamics after a quantum quench is determined by the weights of the initial state in the eigenspectrum of the final Hamiltonian, i.e., by the distribution of overlaps in the en…
Unusual Corrections to Scaling and Convergence of Universal Renyi Properties at Quantum Critical Points
Sharmistha Sahoo, E. Miles Stoudenmire, Jean-Marie Stéphan +3
At a quantum critical point, bipartite entanglement entropies have universal quantities which are subleading to the ubiquitous area law. For Renyi entropies, these terms are known…
Inhomogeneous quenches in a fermionic chain: exact results
Jacopo Viti, Jean-Marie Stéphan, Jérôme Dubail +1
We consider the non-equilibrium physics induced by joining together two tight binding fermionic chains to form a single chain. Before being joined, each chain is in a many-fermion…
A Rényi entropy perspective on topological order in classical toric code models
Johannes Helmes, Jean-Marie Stéphan, Simon Trebst
Concepts of information theory are increasingly used to characterize collective phenomena in condensed matter systems, such as the use of entanglement entropies to identify emergen…
Shannon and Rényi mutual information in quantum critical spin chains
Jean-Marie Stéphan
We study the Shannon mutual information in one-dimensional critical spin chains, following a recent conjecture (Phys. Rev. Lett. 111, 017201 (2013)), as well as Rényi generalizatio…
Emptiness formation probability, Toeplitz determinants, and conformal field theory
Jean-Marie Stéphan
We revisit the study of the emptiness formation probability, the probability of forming a sequence of spins with the same ferromagnetic orientation in the ground-state of a…
Logarithmic corrections to the free energy from sharp corners with angle
Jean-Marie Stéphan, Jérôme Dubail
We study subleading corrections to the corner free energy in classical two-dimensional critical systems, focusing on a generic boundary perturbation by the stress-tensor of the und…
Entanglement in gapless resonating valence bond states
Jean-Marie Stéphan, Hyejin Ju, Paul Fendley +1
We study resonating-valence-bond (RVB) states on the square lattice of spins and of dimers, as well as SU(N)-invariant states that interpolate between the two. These states are gro…
Rényi entanglement entropies in quantum dimer models : from criticality to topological order
Jean-Marie Stéphan, Grégoire Misguich, Vincent Pasquier
Thanks to Pfaffian techniques, we study the Rényi entanglement entropies and the entanglement spectrum of large subsystems for two-dimensional Rokhsar-Kivelson wave functions const…
Local quantum quenches in critical one-dimensional systems: entanglement, the Loschmidt echo, and light-cone effects
Jean-Marie Stéphan, Jérôme Dubail
We study a particular type of local quench in a generic quantum critical one-dimensional system, using conformal field theory (CFT) techniques, and providing numerical checks of th…
Phase transition in the Rényi-Shannon entropy of Luttinger liquids
Jean-Marie Stéphan, Grégoire Misguich, Vincent Pasquier
The Rényi-Shannon entropy associated to critical quantum spins chain with central charge is shown to have a phase transition at some value of the Rényi parameter wh…