Dynamical correlations in a dissipative XXZ spin chain preserve early-time transport universality classes (ballistic, KPZ, diffusive) with magnon ballistic features at finite magnetization, but acquire exponential damping at long times under Lindblad evolution.
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5 Pith papers cite this work, alongside 243 external citations. Polarity classification is still indexing.
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A tensor-network solver extended with jump-counting computes electron currents in up to 50 quantum dots, matching traditional solvers for small systems but with orders of magnitude less memory and time.
The Lindblad equation is valid only within a finite time window controlled by the timescales of the bath, the system, and the rotating-wave approximation, with failure at early and late times.
Introductory lecture notes on tensor networks with emphasis on matrix-product states, their algorithms, higher-dimensional generalizations, and applications to mixed states and open quantum systems, accompanied by Julia code.
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Dynamical correlations in a dissipative XXZ spin chain
Dynamical correlations in a dissipative XXZ spin chain preserve early-time transport universality classes (ballistic, KPZ, diffusive) with magnon ballistic features at finite magnetization, but acquire exponential damping at long times under Lindblad evolution.
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Tensor-network simulation of quantum transport in many-quantum-dot systems
A tensor-network solver extended with jump-counting computes electron currents in up to 50 quantum dots, matching traditional solvers for small systems but with orders of magnitude less memory and time.
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Is Lindblad for me?
The Lindblad equation is valid only within a finite time window controlled by the timescales of the bath, the system, and the rotating-wave approximation, with failure at early and late times.
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Introduction to matrix-product states and tensor networks
Introductory lecture notes on tensor networks with emphasis on matrix-product states, their algorithms, higher-dimensional generalizations, and applications to mixed states and open quantum systems, accompanied by Julia code.
- Quantum to classical relaxation dynamics of the dissipative Rydberg gas