Details
Original language | English |
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Article number | 032309 |
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 84 |
Issue number | 3 |
Publication status | Published - 8 Sept 2011 |
Abstract
We study the speed at which information propagates through systems of interacting quantum particles moving on a regular lattice and show that for a certain class of initial conditions there exists a maximum speed of sound at which information can propagate. Our argument applies equally to quantum spins, bosons such as in the Bose-Hubbard model, fermions, anyons, and general mixtures thereof, on arbitrary lattices of any dimension. It also pertains to dissipative dynamics on the lattice, and generalizes to the continuum for quantum fields. Our result can be seen as an analog of the Lieb-Robinson bound for strongly correlated models.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 84, No. 3, 032309, 08.09.2011.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Information propagation for interacting-particle systems
AU - Schuch, Norbert
AU - Harrison, Sarah K.
AU - Osborne, Tobias J.
AU - Eisert, Jens
PY - 2011/9/8
Y1 - 2011/9/8
N2 - We study the speed at which information propagates through systems of interacting quantum particles moving on a regular lattice and show that for a certain class of initial conditions there exists a maximum speed of sound at which information can propagate. Our argument applies equally to quantum spins, bosons such as in the Bose-Hubbard model, fermions, anyons, and general mixtures thereof, on arbitrary lattices of any dimension. It also pertains to dissipative dynamics on the lattice, and generalizes to the continuum for quantum fields. Our result can be seen as an analog of the Lieb-Robinson bound for strongly correlated models.
AB - We study the speed at which information propagates through systems of interacting quantum particles moving on a regular lattice and show that for a certain class of initial conditions there exists a maximum speed of sound at which information can propagate. Our argument applies equally to quantum spins, bosons such as in the Bose-Hubbard model, fermions, anyons, and general mixtures thereof, on arbitrary lattices of any dimension. It also pertains to dissipative dynamics on the lattice, and generalizes to the continuum for quantum fields. Our result can be seen as an analog of the Lieb-Robinson bound for strongly correlated models.
UR - http://www.scopus.com/inward/record.url?scp=80052448831&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.84.032309
DO - 10.1103/PhysRevA.84.032309
M3 - Article
AN - SCOPUS:80052448831
VL - 84
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 3
M1 - 032309
ER -