1 citations · 2 across the 12 of their papers we have counts for
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On Bose-Einstein condensates in disordered media
Marius Lemm, Simone Rademacher, Jingxuan Zhang
We consider the quantum dynamics of interacting bosons in the mean-field regime when they are subjected to a disordered potential, which is either random or quasi-periodic. Startin…
On the quantum dynamics of long-ranged Bose-Hubbard Hamiltonians
Marius Lemm, Carla Rubiliani, Jingxuan Zhang
We study the quantum dynamics generated by Bose-Hubbard Hamiltonians with long-ranged (power law) terms. We prove two ballistic propagation bounds for suitable initial states: (i)…
Macroscopic suppression of supersonic quantum transport
Jérémy Faupin, Marius Lemm, Israel Michael Sigal +1
We consider a broad class of strongly interacting quantum lattice gases, including the Fermi-Hubbard and Bose-Hubbard models. We focus on macroscopic particle clusters of size …
Local enhancement of the mean-field approximation for bosons
Marius Lemm, Simone Rademacher, Jingxuan Zhang
We study the quantum many-body dynamics of a Bose-Einstein condensate (BEC) on the lattice in the mean-field regime. We derive a local enhancement of the mean-field approximation:…
Upper bounds in non-autonomous quantum dynamics
Jingxuan Zhang
We prove upper bounds on outside probabilities for generic non-autonomous Schrödinger operators on lattices of arbitrary dimension. Our approach is based on a combination of commut…
On the microscopic propagation speed of long-range quantum many-body systems
Marius Lemm, Carla Rubiliani, Jingxuan Zhang
We consider the time-dependent Schrödinger equation that is generated on the bosonic Fock space by a long-range quantum many-body Hamiltonian. We derive the first bound on the maxi…
Information propagation in long-range quantum many-body systems
Marius Lemm, Carla Rubiliani, Israel Michael Sigal +1
We study general lattice bosons with long-range hopping and long-range interactions decaying as with . We find a linear light cone for the informatio…
On propagation of information in quantum many-body systems
Israel Michael Sigal, Jingxuan Zhang
We prove bounds on the minimal time for quantum messaging, propagation/creation of correlations, and control of states for general lattice quantum many-body systems. The proofs are…