Weyl dynamical maps are fully classified via phase-space subgroups; convex mixing of eternally non-Markovian dephasing maps yields Markovian semigroups, and irreducible eternally non-Markovian examples exist for qutrits.
hub
On the generators of quantum dynamical sem igroups
13 Pith papers cite this work. Polarity classification is still indexing.
13
Pith papers citing it
hub tools
citation-role summary
background 3
citation-polarity summary
fields
quant-ph 6 cond-mat.mes-hall 2 cond-mat.stat-mech 2 cond-mat.str-el 1 math-ph 1 physics.atom-ph 1roles
background 3polarities
background 3representative citing papers
A new compilation framework treats quantum channels as first-class objects via ChannelIR and LindFront, achieving up to 99% gate count reduction on Lindbladian benchmarks versus unoptimized and Stinespring baselines.
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.
A model-free quantum stabilization framework uses sign-based Lyapunov descent, adaptive gains, and finite-difference LaSalle analogue to guarantee asymptotic stability in drift-free cases and practical ISS with unknown drift and noise.
The weakly dissipative 1D Fermi gas exhibits algebraic density decay for annihilation and coagulation reactions and a mean-field directed percolation absorbing-state phase transition, extending previous lattice results to continuous space.
Coherent THz-to-optical conversion in warm Rb vapor via adjustable optical probe interference enables tomographic reconstruction of THz field amplitude and phase.
In quantum thermalization with detailed balance, internal energy becomes E(S, dot S), extending thermodynamics to include dynamical rates.
For the Fano-Anderson model with Lorentzian spectral density, the TCL expansion converges within a radius set by the detuning-to-width ratio, and its second and fourth orders represent non-Markovianity differently as measured by Bures distance evolution.
Extends KMS-detailed balance constructions from open quantum systems to prepare microcanonical ensembles and other stationary states with criteria for efficient implementation.
Single-diffractive cross sections in pp and pbar p collisions are described by a three-parameter fit in a dephasing Lindblad framework yielding a consistent decoherence factor φ ≈ 0.89 that favors CPT-invariant dephasing over CP-invariant.
Establishes correspondence between equilibrium Majorana zero modes and non-equilibrium kinetic zero modes in dissipative topological superconductors, derives algebraic relation for their numbers, and proposes dissipation engineering recipes demonstrated on Kitaev chain.
Phase-space kinetic modeling with distribution function f(r,p,t) is applied to solid-state plasmas in nano-objects, adding quantum, spin, relativistic and dissipative features for linear and nonlinear response examples.
This thesis reviews and organizes dilation-based representations of quantum channel curves as an alternative to standard reduced dynamics in finite dimensions.
citing papers explorer
-
Convexity and non-Markovianity of Weyl Maps
Weyl dynamical maps are fully classified via phase-space subgroups; convex mixing of eternally non-Markovian dephasing maps yields Markovian semigroups, and irreducible eternally non-Markovian examples exist for qutrits.
-
A Compilation Framework for Quantum Simulation of Non-unitary Dynamics
A new compilation framework treats quantum channels as first-class objects via ChannelIR and LindFront, achieving up to 99% gate count reduction on Lindbladian benchmarks versus unoptimized and Stinespring baselines.
-
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.
-
Model-Free Quantum Stabilization via Finite-Difference Lyapunov Control
A model-free quantum stabilization framework uses sign-based Lyapunov descent, adaptive gains, and finite-difference LaSalle analogue to guarantee asymptotic stability in drift-free cases and practical ISS with unknown drift and noise.
-
Reaction-diffusion dynamics of the weakly dissipative Fermi gas
The weakly dissipative 1D Fermi gas exhibits algebraic density decay for annihilation and coagulation reactions and a mean-field directed percolation absorbing-state phase transition, extending previous lattice results to continuous space.
-
Coherent terahertz field tomographic imaging in warm Rydberg vapors
Coherent THz-to-optical conversion in warm Rb vapor via adjustable optical probe interference enables tomographic reconstruction of THz field amplitude and phase.
-
Thermodynamics Beyond State Functions from Quantum Relaxation
In quantum thermalization with detailed balance, internal energy becomes E(S, dot S), extending thermodynamics to include dynamical rates.
-
Expansion of time-convolutionless non-Markovian quantum master equations: A case study using the Fano-Anderson model
For the Fano-Anderson model with Lorentzian spectral density, the TCL expansion converges within a radius set by the detuning-to-width ratio, and its second and fourth orders represent non-Markovianity differently as measured by Bures distance evolution.
-
Dissipative microcanonical ensemble preparation from KMS-detailed balance
Extends KMS-detailed balance constructions from open quantum systems to prepare microcanonical ensembles and other stationary states with criteria for efficient implementation.
-
Decoherence, Perturbations and Symmetry in Lindblad Dynamics -- Implications for Diffractive Dissociation
Single-diffractive cross sections in pp and pbar p collisions are described by a three-parameter fit in a dephasing Lindblad framework yielding a consistent decoherence factor φ ≈ 0.89 that favors CPT-invariant dephasing over CP-invariant.
-
Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
Establishes correspondence between equilibrium Majorana zero modes and non-equilibrium kinetic zero modes in dissipative topological superconductors, derives algebraic relation for their numbers, and proposes dissipation engineering recipes demonstrated on Kitaev chain.
-
Phase-space modelling of solid-state plasmas
Phase-space kinetic modeling with distribution function f(r,p,t) is applied to solid-state plasmas in nano-objects, adding quantum, spin, relativistic and dissipative features for linear and nonlinear response examples.
-
Quantum Dynamics: A Dilation-Based Approach
This thesis reviews and organizes dilation-based representations of quantum channel curves as an alternative to standard reduced dynamics in finite dimensions.