Engineered Dissipation for Thermal-State Tracking Across Quantum Criticality
Abstract
Engineering dissipation has emerged as a powerful strategy for controlling quantum many-body dynamics, complementing purely coherent control for state preparation. However, finite-time driving across a quantum critical point generates nonadiabatic excitations and coherences, and existing dissipation-engineering approaches have largely characterized how a fixed environment modifies critical dynamics rather than actively steering a system toward a prescribed thermal trajectory. Here we develop a Markovian dissipative framework for finite-time thermal-state tracking based on engineered population currents with non-negative transition rates, and apply it to the transverse-field Ising model driven across its quantum critical point. Compared with unitary dynamics and a natural thermal bath, the engineered dynamics strongly suppresses thermal excitation deviations and provides additional control over coherence damping through a free common current Qk, while exhibiting a substantially steeper residual scaling, δnexth∼(v/vch)2, than the Kibble--Zurek behavior recovered for unitary evolution. These results point toward engineered dissipation as a route for controlling thermal-state preparation in driven quantum critical systems.
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BibTeX
@misc{mistry2026engineered,
title = {{Engineered Dissipation for Thermal-State Tracking Across Quantum Criticality}},
author = {Saikat Mistry and Dibyajyoti Sahu and Suhas Gangadharaiah},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.39084},
eprint = {2609.39084},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39084},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Engineered Dissipation for Thermal-State Tracking Across Quantum Criticality
AU - Saikat Mistry
AU - Dibyajyoti Sahu
AU - Suhas Gangadharaiah
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2609.39084
UR - https://arxiv.org/abs/2609.39084
AB - Engineering dissipation has emerged as a powerful strategy for controlling quantum many-body dynamics, complementing purely coherent control for state preparation. However, finite-time driving across a quantum critical point generates nonadiabatic excitations and coherences, and existing dissipation-engineering approaches have largely characterized how a fixed environment modifies critical dynamics rather than actively steering a system toward a prescribed thermal trajectory. Here we develop a Markovian dissipative framework for finite-time thermal-state tracking based on engineered population currents with non-negative transition rates, and apply it to the transverse-field Ising model driven across its quantum critical point. Compared with unitary dynamics and a natural thermal bath, the engineered dynamics strongly suppresses thermal excitation deviations and provides additional control over coherence damping through a free common current Q_k, while exhibiting a substantially steeper residual scaling, δn_ex^th∼(v/v_ch)^2, than the Kibble--Zurek behavior recovered for unitary evolution. These results point toward engineered dissipation as a route for controlling thermal-state preparation in driven quantum critical systems.
ER -