1.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Lawrence Livermore National LaboratoryUS28 papers
- University of California San DiegoUS21 papers
- Iowa State UniversityUS19 papers
- Argonne National LaboratoryUS18 papers
- Stanford UniversityUS18 papers
- Ames National LaboratoryUS17 papers
- Centre National de la Recherche ScientifiqueFR16 papers
- Princeton UniversityUS16 papers
- University of FloridaUS16 papers
- Oak Ridge National LaboratoryUS15 papers
- Rutgers, The State University of New JerseyUS15 papers
- University College LondonGB15 papers
58 papers · 1 filter
Ballistic Transport for Schrödinger Operators with Quasi-periodic Potentials
Yulia Karpeshina, Leonid Parnovski, Roman Shterenberg
We prove the existence of ballistic transport for a Schrödinger operator with a generic quasi-periodic potential in any dimension .
Entanglement Entropy Bounds in the Higher Spin XXZ Chain
Christoph Fischbacher, Oluwadara Ogunkoya
We consider the Heisenberg XXZ spin- chain () with anisotropy parameter . Assuming that , and introducing threshold energies $E_{K}:=K\left(1-\frac{2J…
Entanglement bounds in the XXZ quantum spin chain
Houssam Abdul-Rahman, Christoph Fischbacher, Günter Stolz
We consider the XXZ spin chain, characterized by an anisotropy parameter , and normalized such that the ground state energy is and the ground state given by the all spins…
On the Regime of Localized Excitations for Disordered Oscillator Systems
Houssam Abdul-Rahman, Robert Sims, Günter Stolz
We study quantum oscillator lattice systems with disorder, in arbitrary dimension, requiring only partial localization of the associated effective one-particle Hamiltonian. This le…
Autonomous evolution of electron speeds in a thermostatted system: exact results
Federico Bonetto, Nikolai Chernov, Alexey Korepanov +1
We investigate a dynamical system consisting of particles moving on a -dimensional torus under the action of an electric field with a Gaussian thermostat to keep the tot…
Solutions of Gross-Pitaevskii Equation with Periodic Potential in Dimension Two
Yulia Karpeshina, Seonguk Kim, Roman Shterenberg
Quasi-periodic solutions of a nonlinear polyharmonic equation for the case in , , are studied. This includes Gross-Pitaevskii equation in dimension two ($l=1,n=…
Droplet states in quantum XXZ spin systems on general graphs
Christoph Fischbacher, Günter Stolz
We study XXZ spin systems on general graphs. In particular, we describe the formation of droplet states near the bottom of the spectrum in the Ising phase of the model, where the Z…
Manifestations of dynamical localization in the disordered XXZ spin chain
Alexander Elgart, Abel Klein, Günter Stolz
We study disordered XXZ spin chains in the Ising phase exhibiting droplet localization, a single cluster localization property we previously proved for random XXZ spin chains. It h…
Many-body localization in the droplet spectrum of the random XXZ quantum spin chain
Alexander Elgart, Abel Klein, Günter Stolz
We study many-body localization properties of the disordered XXZ spin chain in the Ising phase. Disorder is introduced via a random magnetic field in the -direction. We prove a…
Localization Properties of the XY Spin Chain. A review of mathematical results with an eye toward Many-Body Localization
Houssam Abdul-Rahman, Bruno Nachtergaele, Robert Sims +1
We review several aspects of Many-Body Localization-like properties exhibited by the disordered XY chains: localization properties of the energy eigenstates and thermal states, pro…
Entanglement Dynamics of Disordered Quantum XY Chains
Houssam Abdul-Rahman, Bruno Nachtergaele, Robert Sims +1
We consider the dynamics of the quantum XY chain with disorder under the general assumption that the expectation of the eigenfunction correlator of the associated one-particle Hami…
Ballistic Transport for the Schrödinger Operator with Limit-Periodic or Quasi-periodic Potential in Dimension Two
Yulia Karpeshina, Young-Ran Lee, Roman Shterenberg +1
We prove the existence of ballistic transport for the Schrödinger operator with limit-periodic or quasi-periodic potential in dimension two. This is done under certain regularity a…
A uniform area law for the entanglement of eigenstates in the disordered XY chain
Houssam Abdul-Rahman, Günter Stolz
We consider the isotropic or anisotropic XY spin chain in the presence of a transversal random magnetic field, with parameters given by random variables. It is shown that eigenfunc…
A Note on Mixed Matrix Moments for the Complex Ginibre Ensemble
Meg Walters, Shannon Starr
We consider the mixed matrix moments for the complex Ginibre ensemble. These are well-known. We consider the relation to the expected overlap functions of Chalker and Mehlig. This…
Improved Sobolev Embedding Theorems for Vector-valued Functions
Takashi Ichinose, Yoshimi Saitō
The aim of this paper is to give an extension of the improved Sobolev embedding theorem for single-valued functions to the case of vector-valued functions which is involved with th…
Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrodinger operators
Leonid Parnovski, Roman Shterenberg
We prove the complete asymptotic expansion of the spectral function (the integral kernel of the spectral projection) of a Schrodinger operator acting in when the pot…
Many-Body Localization: Concepts and Simple Models
Robert Sims, Gunter Stolz
We review recent results on many-body localization for two explicitly analyzable models of many-body quantum systems, the XY spin chain in transversal magnetic field as well as int…
Localization for random block operators related to the XY spin chain
Jacob Chapman, Günter Stolz
We study a class of random block operators which appear as effective one-particle Hamiltonians for the anisotropic XY quantum spin chain in an exterior magnetic field given by an a…
Wigner crystallization in the quantum 1D jellium at all densities
Sabine Jansen, Paul Jung
The jellium is a model, introduced by Wigner (1934), for a gas of electrons moving in a uniform neutralizing background of positive charge. Wigner suggested that the repulsion betw…
An Area Law for the Bipartite Entanglement of Disordered Oscillator Systems
Bruno Nachtergaele, Robert Sims, Gunter Stolz
We prove an upper bound proportional to the surface area for the bipartite entanglement of the ground state and thermal states of harmonic oscillator systems with disorder, as meas…
Multiscale Analysis in Momentum Space for Quasi-periodic Potential in Dimension Two
Yulia Karpeshina, Roman Shterenberg
We consider a polyharmonic operator $H=(-Δ)^l+V(\x)$ in dimension two with , being an integer, and a quasi-periodic potential $V(\x)$. We prove that the absolutely con…
Quantum harmonic oscillator systems with disorder
Bruno Nachtergaele, Robert Sims, Günter Stolz
We study many-body properties of quantum harmonic oscillator lattices with disorder. A sufficient condition for dynamical localization, expressed as a zero-velocity Lieb-Robinson b…
Stability of the inverse resonance problem for Jacobi operators
Matthew Bledsoe
When the coefficients of a Jacobi operator are finitely supported perturbations of the 1 and 0 sequences, respectively, the left reflection coefficient is a rational function whose…
Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic pseudo-differential operators
Sergey Morozov, Leonid Parnovski, Roman Shterenberg
We obtain a complete asymptotic expansion of the integrated density of states of operators of the form H =(-Δ)^w +B in R^d. Here w >0, and B belongs to a wide class of almost-perio…