Light cones for open quantum systems in the continuum

PDEs in connection with quantum mechanics (35Q40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Open systems, reduced dynamics, master equations, decoherence (81S22)

Cites Work

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Scattering theory for Lindblad master equations
Maximal velocity of photons in non-relativistic QED
Maximal speed of quantum propagation
Lieb-Robinson bounds for harmonic and anharmonic lattice systems
Lieb-Robinson bounds and the exponential clustering theorem
Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials
Quantum dynamical semigroups and applications. (Based on Lectures given at the 20th Symposium on Theoretical Chemistry held 1984 in Emmetten, Switzerland)
Propagation estimates for \(N\)-body Schrödinger operators
On the generators of quantum dynamical semigroups
Asymptotic completeness of long-range \(N\)-body quantum systems
Free channel Fourier transform in the long-range \(N\)-body problem
Maximal speed of propagation in open quantum systems
On Lieb-Robinson bounds for the Bose-Hubbard model
A new look at Mourre's commutator theory
TIME-DEPENDENT SCATTERING THEORY OF N-BODY QUANTUM SYSTEMS
Lieb-Robinson Bounds and Existence of the Thermodynamic Limit for a Class of Irreversible Quantum Dynamics
Minimal escape velocities
Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms
Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems
An area law for one-dimensional quantum systems
\(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
Maximal speed of quantum propagation for the Hartree equation

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