7 papers
Lieb-Robinson bounds for irreversible dynamics via adaptive Dyson expansion
Carla Rubiliani, Marius Wesle, Tom Wessel
In this note, we study a broad class of time-dependent and irreversible dynamics for quantum spin systems in both finite and infinite volume. We develop a simple and flexible strat…
Lieb-Robinson bounds for Bose-Hubbard Hamiltonians: A review with a simplified proof
Marius Lemm, Carla Rubiliani
We review recent progress on state-dependent Lieb--Robinson bounds for Bose--Hubbard Hamiltonians. In particular, Kuwahara, Vu, and Saito established that, for general bounded-dens…
A ballistic upper bound on the accumulation of bosonic on-site energies
Tomotaka Kuwahara, Marius Lemm, Carla Rubiliani
In this note, we study transport properties of the dynamics generated by translation-invariant and possibly long-ranged Hamiltonians of Bose-Hubbard type. For translation-invariant…
Spectral Small-Incremental-Entangling: Breaking Quasi-Polynomial Complexity Barriers in Long-Range Interacting Systems
Donghoon Kim, Yusuke Kimura, Hugo Mackay +6
How the detailed structure of quantum complexity emerges from quantum dynamics remains a fundamental challenge highlighted by advances in quantum simulators and information process…
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)…
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…