Fast and robust magnon transport in a spin chain
- URL: http://arxiv.org/abs/2101.04995v2
- Date: Mon, 29 Mar 2021 10:26:23 GMT
- Title: Fast and robust magnon transport in a spin chain
- Authors: Anthony Kiely and Steve Campbell
- Abstract summary: We develop a protocol for fast and robust magnon transport in a one-dimensional spin chain.
We show that a sharp transition exists between regions in which the protocol is effective and when it breaks down, giving rise to a speed limit for the process.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: A protocol for fast and robust magnon transport in a one-dimensional spin
chain is devised. Employing an approximate mapping between the chain and a
single harmonically trapped particle, we exploit the known analytic control
protocols for the latter and adopt them to achieve fast, high-fidelity
transport in the chain. We compare the performance with finite time adiabatic
protocols, establishing that the designed scheme allows for significantly
faster and more stable transport. Furthermore, we show that a sharp transition
exists between regions in which the protocol is effective and when it breaks
down, giving rise to a heuristic speed limit for the process.
Related papers
- Optimal control of dissipation and work fluctuations for rapidly driven
systems [0.0]
In fast driving regimes the system is driven far out of equilibrium, potentially creating large amounts of unwanted entropy production.
Here we prove that they consist of two discontinuous jumps in the full set of control variables.
These jumps can be tuned to interpolate between processes with either minimal dissipation or minimal fluctuations, and in some situations allow for simultaneous minimisation.
We illustrate our general results with rapidly driven closed quantum systems, classical bit erasure and a dissipative Ising chain driven close to a quantum phase transition.
arXiv Detail & Related papers (2022-12-07T19:49:58Z) - Optimal control of stimulated Raman adiabatic passage in a
superconducting qudit [22.4182419394983]
We introduce an optimally controlled shortcut-to-adiabatic technique to speed up the STIRAP protocol in a superconducting qudit.
By modifying the shapes of the STIRAP pulses, we experimentally realize a fast (32 ns) and high-fidelity quantum state transfer.
arXiv Detail & Related papers (2021-11-22T03:32:51Z) - Reinforcement learning-enhanced protocols for coherent
population-transfer in three-level quantum systems [50.591267188664666]
We deploy a combination of reinforcement learning-based approaches and more traditional optimization techniques to identify optimal protocols for population transfer.
Our approach is able to explore the space of possible control protocols to reveal the existence of efficient protocols.
The new protocols that we identify are robust against both energy losses and dephasing.
arXiv Detail & Related papers (2021-09-02T14:17:30Z) - Fast and robust particle shuttling for quantum science and technology [0.0]
"Fast" is defined with respect to adiabatic transport times.
Special attention is paid to shortcut-to-adiabaticity protocols that achieve, in faster-than-adiabatic times, the same results of slow adiabatic driving.
arXiv Detail & Related papers (2021-04-15T10:38:27Z) - 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) - Pretty good quantum state transfer on isotropic and anisotropic
Heisenberg spin chains with tailored site dependent exchange couplings [68.8204255655161]
We consider chains with isotropic and anisotropic Heisenberg Hamiltonian with up to 100 spins.
We consider short transferred times, in particular shorter than those achievable with known time-dependent control schemes.
arXiv Detail & Related papers (2021-01-08T19:32:10Z) - Fast and robust quantum state transfer via a topological chain [0.0]
We propose a fast and robust quantum state transfer protocol employing a Su-Schrieffer-Heeger chain.
By numerically investigating the resilience of each protocol to static noise, we highlight the robustness of the exponential driving.
arXiv Detail & Related papers (2020-09-19T04:39:47Z) - Fast and robust quantum state transfer in a topological
Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions [0.0]
We suggest a method for fast and robust quantum-state transfer in a Su-Schrieffer-Heeger chain.
The proposed quantum protocol combines a rapid change in one of the topological edge states, induced by a modulation of nearest-neighbour interactions.
We show that introducing spatial correlations in the disorder increases the robustness of the protocol, widening the range of its applicability.
arXiv Detail & Related papers (2020-06-17T15:34:09Z) - Controlled quantum state transfer in $XX$ spin chains at the Quantum
Speed Limit [62.997667081978825]
In homogeneous chains it implies that taking information from one extreme of the chain to the other will take a time $O(N/2)$, where $N$ is the chain length.
We design control pulses that achieve near perfect population transfer between the extremes of the chain at times on the order of $N/2$, or larger.
arXiv Detail & Related papers (2020-05-15T23:10:19Z) - 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) - Encircling exceptional points as a non-Hermitian extension of rapid
adiabatic passage [50.591267188664666]
We show that a suitable amount of loss to the driven Hamiltonian turns a RAP protocol into a scheme for encircling an exceptional point.
Our work thus discloses an intimate connection between a whole body of literature on RAP and recent studies on the dynamics in the vicinity of an exceptional point.
arXiv Detail & Related papers (2020-04-11T20:53:18Z)
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.