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Long-range interacting quantum systems
In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …
[HTML][HTML] Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …
Theory of trotter error with commutator scaling
The Lie-Trotter formula, together with its higher-order generalizations, provides a direct
approach to decomposing the exponential of a sum of operators. Despite significant effort …
approach to decomposing the exponential of a sum of operators. Despite significant effort …
Programmable quantum simulations of spin systems with trapped ions
Laser-cooled and trapped atomic ions form an ideal standard for the simulation of interacting
quantum spin models. Effective spins are represented by appropriate internal energy levels …
quantum spin models. Effective spins are represented by appropriate internal energy levels …
Lieb-Robinson light cone for power-law interactions
The Lieb-Robinson theorem states that information propagates with a finite velocity in
quantum systems on a lattice with nearest-neighbor interactions. What are the speed limits …
quantum systems on a lattice with nearest-neighbor interactions. What are the speed limits …
Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunneling models
We investigate the dynamics following a global parameter quench for two one-dimensional
models with variable-range power-law interactions: a long-range transverse Ising model …
models with variable-range power-law interactions: a long-range transverse Ising model …
Locality and digital quantum simulation of power-law interactions
The propagation of information in nonrelativistic quantum systems obeys a speed limit
known as a Lieb-Robinson bound. We derive a new Lieb-Robinson bound for systems with …
known as a Lieb-Robinson bound. We derive a new Lieb-Robinson bound for systems with …
Disorder-enhanced and disorder-independent transport with long-range hop**: Application to molecular chains in optical cavities
Overcoming the detrimental effect of disorder at the nanoscale is very hard since disorder
induces localization and an exponential suppression of transport efficiency. Here we unveil …
induces localization and an exponential suppression of transport efficiency. Here we unveil …
Topological properties of a dense atomic lattice gas
We investigate the existence of topological phases in a dense two-dimensional atomic
lattice gas. The coupling of the atoms to the radiation field gives rise to dissipation and a …
lattice gas. The coupling of the atoms to the radiation field gives rise to dissipation and a …
Improved Lieb-Robinson bound for many-body Hamiltonians with power-law interactions
In this paper, we prove a family of Lieb-Robinson bounds for discrete spin systems with long-
range interactions. Our results apply for arbitrary k-body interactions, so long as they decay …
range interactions. Our results apply for arbitrary k-body interactions, so long as they decay …