Optimal form of light cones for bosonic transport in long-range systems
- URL: http://arxiv.org/abs/2307.01059v1
- Date: Mon, 3 Jul 2023 14:37:11 GMT
- Title: Optimal form of light cones for bosonic transport in long-range systems
- Authors: Tan Van Vu and Tomotaka Kuwahara and Keiji Saito
- Abstract summary: We show that the minimum time required for macroscopic particle transport is always bounded by the distance between the source and target regions.
We derive an upper bound for the probability of observing a specific number of bosons inside the target region.
Our results hold true for arbitrary initial states under both long-range hopping and long-range interactions.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Understanding the ultimate rate at which information propagates is a pivotal
issue in nonequilibrium physics. Nevertheless, the task of elucidating the
propagation speed inherent in quantum bosonic systems presents challenges due
to the unbounded nature of their interactions. In this Letter, we tackle the
problem of particle transport in long-range bosonic systems through the lens of
both quantum speed limits and the Lieb-Robinson bound. Employing a unified
approach based on optimal transport theory, we rigorously prove that the
minimum time required for macroscopic particle transport is always bounded by
the distance between the source and target regions, while retaining its
significance even in the thermodynamic limit. Furthermore, we derive an upper
bound for the probability of observing a specific number of bosons inside the
target region, thereby providing additional insights into the dynamics of
particle transport. Our results hold true for arbitrary initial states under
both long-range hopping and long-range interactions, thus resolving an open
problem of particle transport in generic bosonic systems.
Related papers
- Engineering Transport via Collisional Noise: a Toolbox for Biology
Systems [44.99833362998488]
We study a generalised XXZ model in the presence of collision noise, which allows to describe environments beyond the standard Markovian formulation.
Results constitute an example of the essential building blocks for the understanding of quantum transport in noisy and warm disordered environments.
arXiv Detail & Related papers (2023-11-15T12:55:28Z) - Oscillating Fields, Emergent Gravity and Particle Traps [55.2480439325792]
We study the large-scale dynamics of charged particles in a rapidly oscillating field and formulate its classical and quantum effective theory description.
Remarkably, the action models the effects of general relativity on the motion of nonrelativistic particles, with the values of the emergent curvature and speed of light determined by the field spatial distribution and frequency.
arXiv Detail & Related papers (2023-10-03T18:00:02Z) - The strongly driven Fermi polaron [49.81410781350196]
Quasiparticles are emergent excitations of matter that underlie much of our understanding of quantum many-body systems.
We take advantage of the clean setting of homogeneous quantum gases and fast radio-frequency control to manipulate Fermi polarons.
We measure the decay rate and the quasiparticle residue of the driven polaron from the Rabi oscillations between the two internal states.
arXiv Detail & Related papers (2023-08-10T17:59:51Z) - Exact universal bounds on quantum dynamics and fast scrambling [0.0]
We show that the spectral form factor sets a universal state-independent bound on the quantum dynamics of a complete set of initial states over arbitrarily long times.
We use this result to constrain the scrambling of information in interacting many-body systems.
arXiv Detail & Related papers (2022-12-28T18:47:20Z) - From Goldilocks to Twin Peaks: multiple optimal regimes for quantum
transport in disordered networks [68.8204255655161]
Open quantum systems theory has been successfully applied to predict the existence of environmental noise-assisted quantum transport.
This paper shows that a consistent subset of physically modelled transport networks can have at least two ENAQT peaks in their steady state transport efficiency.
arXiv Detail & Related papers (2022-10-21T10:57:16Z) - Slow transport and bound states for spinless fermions with long-range
Coulomb interactions on one-dimensional lattices [2.9606401184541427]
We study transport and relaxation of spinless fermions with long-range Coulomb interactions at high temperatures.
We attribute the slow transport to formation of slow bound states and stable clusters of particles.
arXiv Detail & Related papers (2022-09-25T09:19:03Z) - Correlated topological pumping of interacting bosons assisted by Bloch
oscillations [4.960482661973871]
We study how particle-particle interactions affect topological transport in a periodically-modulated and tilted optical lattice.
Our study deepens the understanding of correlation effects on topological states, and provides a feasible way for detecting topological properties in interacting systems.
arXiv Detail & Related papers (2022-08-17T04:19:45Z) - Formation of robust bound states of interacting microwave photons [148.37607455646454]
One of the hallmarks of interacting systems is the formation of multi-particle bound states.
We develop a high fidelity parameterizable fSim gate that implements the periodic quantum circuit of the spin-1/2 XXZ model.
By placing microwave photons in adjacent qubit sites, we study the propagation of these excitations and observe their bound nature for up to 5 photons.
arXiv Detail & Related papers (2022-06-10T17:52:29Z) - A many-body approach to transport in quantum systems: From the transient
regime to the stationary state [0.0]
We review one of the most versatile theoretical approaches to the study of time-dependent correlated quantum transport in nano-systems.
Within this formalism, one can treat, on the same formulae, inter-particle interactions, external drives and/or footings, and coupling to baths with a continuum set of degrees of freedom.
arXiv Detail & Related papers (2022-01-07T19:16:40Z) - Interplay between transport and quantum coherences in free fermionic
systems [58.720142291102135]
We study the quench dynamics in free fermionic systems.
In particular, we identify a function, that we dub emphtransition map, which takes the value of the stationary current as input and gives the value of correlation as output.
arXiv Detail & Related papers (2021-03-24T17:47:53Z) - Long-range interaction in an open boundary-driven Heisenberg spin
lattice: A far-from-equilibrium transition to ballistic transport [62.997667081978825]
We study an open Heisenberg XXZ spin chain with long-range Ising-type interaction.
We find that the chain lengths for this transition are increasing with decreasing range of the Ising-type interactions between distant spins.
The transition can be explained by the suppression of ferromagnetic domains at the edges of the chain.
arXiv Detail & Related papers (2020-04-27T12:22:50Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.