Zobrazeno 1 - 10
of 169
pro vyhledávání: '"Lemm, Marius"'
Autor:
Lemm, Marius, Lucia, Angelo
We prove that the critical finite-size gap scaling for frustration-free Hamiltonians is of inverse-square type. The novelty of this note is that the result is proved on general graphs and for general finite-range interactions. Therefore, the inverse-
Externí odkaz:
http://arxiv.org/abs/2409.09685
In 2018, Bourgain pioneered a novel perturbative harmonic-analytic approach to the stochastic homogenization theory of discrete elliptic equations with weakly random i.i.d. coefficients. The approach was subsequently refined to show that homogenized
Externí odkaz:
http://arxiv.org/abs/2406.09909
Autor:
Kuwahara, Tomotaka, Lemm, Marius
Several recent works have considered Lieb-Robinson bounds (LRBs) for Bose-Hubbard-type Hamiltonians. For certain special classes of initial states (e.g., states with particle-free regions or perturbations of stationary states), the velocity of inform
Externí odkaz:
http://arxiv.org/abs/2405.04672
Autor:
Lemm, Marius, Rademacher, Simone
Quantum many-body chaos concerns the scrambling of quantum information among large numbers of degrees of freedom. It rests on the prediction that out-of-time-ordered correlators (OTOCs) of the form $\langle [A(t),B]^2\rangle$ can be connected to clas
Externí odkaz:
http://arxiv.org/abs/2312.01736
Publikováno v:
Ann. Henri Poincar\'e (2024)
We consider the quantum dynamics of a many-fermion system in $\mathbb R^d$ with an ultraviolet regularized pair interaction as previously studied in [M. Gebert, B. Nachtergaele, J. Reschke, and R. Sims, Ann. Henri Poincar\'e 21.11 (2020)]. We provide
Externí odkaz:
http://arxiv.org/abs/2310.17736
We consider the time-dependent Schr\"odinger equation that is generated on the bosonic Fock space by a long-range quantum many-body Hamiltonian. We derive the first bound on the maximal speed of particle transport in these systems that is thermodynam
Externí odkaz:
http://arxiv.org/abs/2310.14896
This manuscript puts forward and verifies an analytical approach to design phononic crystals that feature a bandgap at the lowest possible frequencies. This new approach is verified against numerical optimization. It rests on the exact form of the tr
Externí odkaz:
http://arxiv.org/abs/2310.05662
Autor:
Breteaux, Sébastien, Faupin, Jérémy, Lemm, Marius, Yang, Dong Hao Ou, Sigal, Israel Michael, Zhang, Jingxuan
We consider Markovian open quantum dynamics (MOQD). We show that, up to small-probability tails, the supports of quantum states evolving under such dynamics propagate with finite speed in any finite-energy subspace. More precisely, we prove that if t
Externí odkaz:
http://arxiv.org/abs/2303.08921
Publikováno v:
Phys. Rev. A 108 (2023), L060401
We study general lattice bosons with long-range hopping and long-range interactions decaying as $|x-y|^{-\alpha} $ with $\alpha\in (d+2,2d+1)$. We find a linear light cone for the information propagation starting from suitable initial states. We appl
Externí odkaz:
http://arxiv.org/abs/2303.06506
Publikováno v:
Phys. Rev. A 107, L050401 (2023)
By explicit counterexample, we show that the "reflected entropy" defined by Dutta and Faulkner is not monotonically decreasing under partial trace, and so is not a measure of physical correlations. In fact, our counterexamples show that none of the R
Externí odkaz:
http://arxiv.org/abs/2302.10208