178 citations · 981 across the 75 of their papers we have counts for
11 papers · 1 filter
Light-Cone Structure of Propagation of Entanglement
Israel Michael Sigal
For a wide class of bipartite systems with localized couplings, we establish existence of an effective light-cone for propagation of entanglement. This result yields a hard lower b…
On the time-dependent Born-Oppenheimer Approximation
Sebastian Gherghe, Iván Moyano, Israel Michael Sigal
In this paper, we consider the time-dependent Born-Oppenheimer approximation (BOA) of a classical quantum molecule involving a possibly large number of nuclei and electrons, descri…
Approach to equilibrium in Markovian open quantum systems
Donghao Ouyang, Israel Michael Sigal
In this paper, we study the evolution of Markovian open quantum systems, whose dynamics are governed by the von Neumann-Lindblad equations. Our goal is to prove the return-to-equil…
On Propagation of Information in Quantum Mechanics and Maximal Velocity Bounds
Israel Michael Sigal, Xiaoxu Wu
We revisit key notions related to the evolution of quantum information in few-body quantum mechanics (fbQM) and, for a wide class of dispersion relations, prove uniform bounds on t…
Light cones for open quantum systems
Sébastien Breteaux, Jérémy Faupin, Marius Lemm +3
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 s…
Maximal Speed of Propagation in Open Quantum Systems
Sébastien Breteaux, Jérémy Faupin, Marius Lemm +1
We prove a maximal velocity bound for the dynamics of Markovian open quantum systems. The dynamics are described by one-parameter semi-groups of quantum channels satisfying the von…
Maximal speed for macroscopic particle transport in the Bose-Hubbard model
Jérémy Faupin, Marius Lemm, Israel Michael Sigal
The Lieb-Robinson bound asserts the existence of a maximal propagation speed for the quantum dynamics of lattice spin systems. Such general bounds are not available for most bosoni…
Suppression of Decoherence by Periodic Forcing
Volker Bach, Walter de Siqueira Pedra, Marco Merkli +1
We consider a finite-dimensional quantum system coupled to a thermal reservoir and subject to a time-periodic, energy conserving forcing. We show that, if a certain dynamical decou…
Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits
M. Merkli, G. P. Berman, I. M. Sigal
We describe our recent results on the resonant perturbation theory of decoherence and relaxation for quantum system with many qubits. The approach represents a rigorous analysis of…
Resonance Theory of Decoherence and Thermalization
M. Merkli, I. M. Sigal, G. P. Berman
We present a rigorous analysis of the phenomenon of decoherence for general level systems coupled to reservoirs. The latter are described by free massless bosonic fields. We ap…
Decoherence and Thermalization
M. Merkli, I. M. Sigal, G. P. Berman
We present a rigorous analysis of the phenomenon of decoherence for general N-level systems coupled to reservoirs of free massless bosonic fields. We apply our general results to t…