Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1109.3392 · Physica B Condensed Matter

Propagation of local excitations through strongly correlated quantum chains

J. Richert, Tarek Khalil

Published Dec 9, 2011• 3 citations
arXivHTMLPDF
DOI
10.1016/j.physb.2011.12.010

Related papers

Real-time scattering of interacting quasiparticles in quantum spin chains

Maarten Van Damme, Laurens Vanderstraeten, Jacopo De Nardis +2 more

We develop a method based on tensor networks to create localized single-particle excitations on top of strongly correlated quantum spin chains.In analogy to the problem of creating localized Wannier modes, this is achieved by optimizing the gauge freedom of momentum excitations on top of matrix product states.The corresponding wave packets propagate almost dispersionlessly.The time-dependent variational principle is used to scatter two such wave packets, and we extract the phase shift from the collision data.We also study reflection and transmission coefficients of a wave packet impinging on an impurity.

arXiv:1907.02474•Physical Review Research•Jan 25, 2021•25 citations

Density waves in strongly correlated quantum chains

Martin Hohenadler, Holger Fehske

arXiv:1706.00470•The European Physical Journal B•Sep 1, 2018•24 citations

Supersonic Quantum Communication

Jens Eisert, D. Gross

When locally exciting a quantum lattice model, the excitation will propagate through the lattice. This effect is responsible for a wealth of nonequilibrium phenomena, and has been exploited to transmit quantum information. It is a commonly expressed belief that for local Hamiltonians, any such propagation happens at a finite "speed of sound". Indeed, the Lieb-Robinson theorem states that in spin models, all effects caused by a perturbation are essentially limited to a causal cone. We show that for meaningful translationally invariant bosonic models with nearest-neighbor interactions (addressing the challenging aspect of an experimental realization) this belief is incorrect: We prove that one can encounter accelerating excitations under the natural dynamics that allow for reliable transmission of information faster than any finite speed of sound. It also implies that the simulation of dynamics of strongly correlated bosonic models may be much harder than that of spin chains even in the low-energy sector.

arXiv:0808.3581•Physical Review Letters•Jun 17, 2009•57 citations

Quantum Transport in Strongly Correlated Systems

Rudi Malfliet

•Jan 1, 1998•0 citations

Trapped-ion quantum simulation of tunable-range Heisenberg chains

Tobias Graß, Maciej Lewenstein

Quantum-optical techniques allow for generating controllable spin-spin interactions between ions, making trapped ions an ideal quantum simulator of Heisenberg chains. A single parameter, the detuning of the Raman coupling, allows to switch between ferromagnetic and antiferromagnetic chains, and to modify the range of the interactions. On the antiferromagnetic side, the system can be tuned from an extreme long-range limit, in which any pair of ions interacts with almost equal strength, to interactions with a decay. By exact diagonalization, we study how a system of up to 20 ions behaves upon tuning the interactions. We find that it undergoes a transition from a dimerized state with extremely short-ranged correlations towards a state with quasi long-range order, that is, algebraically decaying correlations. The dynamical evolution of the system after a local quench is shown to strongly vary in the two regimes: While in the dimerized limit, the excitation remains localized for long times, propagating spinons characterize the dynamics of the quasi-long-range ordered system. Taking a look onto the ferromagnetic side of the system, we demonstrate the feasibility of witnessing non-locality of quantum correlations by measuring two-particle correlators.

arXiv:1401.6414•EPJ Quantum Technology•Jan 1, 2014•5 citations

Excitations and transport in strongly correlated bosonic matter

Sebastian D. Huber

•Jan 1, 2008•2 citations
We develop a method based on tensor networks to create localized single-particle excitations on top of strongly correlated quantum spin chains.In analogy to the problem of creating localized Wannier modes, this is achieved by optimizing the gauge freedom of momentum excitations on top of matrix product states.The corresponding wave packets propagate almost dispersionlessly.The time-dependent variational principle is used to scatter two such wave packets, and we extract the phase shift from the collision data.We also study reflection and transmission coefficients of a wave packet impinging on an impurity.
When locally exciting a quantum lattice model, the excitation will propagate through the lattice. This effect is responsible for a wealth of nonequilibrium phenomena, and has been exploited to transmit quantum information. It is a commonly expressed belief that for local Hamiltonians, any such propagation happens at a finite "speed of sound". Indeed, the Lieb-Robinson theorem states that in spin models, all effects caused by a perturbation are essentially limited to a causal cone. We show that for meaningful translationally invariant bosonic models with nearest-neighbor interactions (addressing the challenging aspect of an experimental realization) this belief is incorrect: We prove that one can encounter accelerating excitations under the natural dynamics that allow for reliable transmission of information faster than any finite speed of sound. It also implies that the simulation of dynamics of strongly correlated bosonic models may be much harder than that of spin chains even in the low-energy sector.
Quantum-optical techniques allow for generating controllable spin-spin interactions between ions, making trapped ions an ideal quantum simulator of Heisenberg chains. A single parameter, the detuning of the Raman coupling, allows to switch between ferromagnetic and antiferromagnetic chains, and to modify the range of the interactions. On the antiferromagnetic side, the system can be tuned from an extreme long-range limit, in which any pair of ions interacts with almost equal strength, to interactions with a decay. By exact diagonalization, we study how a system of up to 20 ions behaves upon tuning the interactions. We find that it undergoes a transition from a dimerized state with extremely short-ranged correlations towards a state with quasi long-range order, that is, algebraically decaying correlations. The dynamical evolution of the system after a local quench is shown to strongly vary in the two regimes: While in the dimerized limit, the excitation remains localized for long times, propagating spinons characterize the dynamics of the quasi-long-range ordered system. Taking a look onto the ferromagnetic side of the system, we demonstrate the feasibility of witnessing non-locality of quantum correlations by measuring two-particle correlators.