Related papers: Krylov Complexity in Mixed Phase Space

Related papers

On Krylov Complexity as a Probe of the Quantum Mpemba Effect [0.0]
We investigate Krylov state complexity as a probe of the quantum Mpemba effect in quantum spin chains.<n>For models without global $U(1)$ symmetry, Krylov complexity exhibits clear Mpemba-like crossings.<n>In $U(1)$-symmetric systems, we confirm that the recently proposed symmetric component of Krylov complexity serves as a robust and reliable indicator of the QME.
arXiv Detail & Related papers (2025-10-16T14:41:53Z)
Security Analysis of MDI-QKD in Turbulent Free-Space Polarization Channels-A Composite Channel Framework [41.14912220553869]
turbulence induces polarization decoherence and depolarization, which degrade the secret key rate.<n>We propose a unified depolarizing-dephasing channel model for turbulence-induced polarization decoherence in FSO MDI-QKD.<n>The model excels in clear, overcast, and hazy weather conditions, offering computational efficiency and experimental verifiability for real-time link adaptation.
arXiv Detail & Related papers (2025-09-02T08:34:59Z)
Quantum Chaos Diagnostics for Open Quantum Systems from Bi-Lanczos Krylov Dynamics [2.0603431589684518]
In Hermitian systems, Krylov complexity has emerged as a powerful diagnostic of quantum dynamics.<n>Here, we demonstrate that Krylov complexity, computed via the bi-Lanczos algorithm, effectively identifies chaotic and integrable phases in open quantum systems.
arXiv Detail & Related papers (2025-08-19T15:49:09Z)
Complexity transitions in chaotic quantum systems: Nonstabilizerness, entanglement, and fractal dimension in SYK and random matrix models [16.646029651172658]
We study the transition from chaotic to integrable phases in several paradigmatic models.<n>We compare three complementary complexity markers -- fractal dimension, von Neumann entanglement entropy, and stabilizer R'enyi entropy.
arXiv Detail & Related papers (2025-05-14T18:07:18Z)
Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow [44.500314182711236]
We derive explicit ordinary equations govern the evolution of mean, covariance, and mass under HK-Boltzmann flow. We demonstrate exponential convergence to equilibrium through constructing a gradient structure associated with a Polyak-Lojasiewicz-type inequalities. We extend our analysis to non-Gaussian targets exhibiting strong log-lambda-concavity.
arXiv Detail & Related papers (2025-04-29T03:54:56Z)
KPZ scaling from the Krylov space [83.88591755871734]
Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
arXiv Detail & Related papers (2024-06-04T20:57:59Z)
Tensor product random matrix theory [39.58317527488534]
We introduce a real-time field theory approach to the evolution of correlated quantum systems. We describe the full range of such crossover dynamics, from initial product states to a maximum entropy ergodic state.
arXiv Detail & Related papers (2024-04-16T21:40:57Z)
Thermodynamics and dynamics of coupled complex SYK models [0.0]
This work establishes the universality of this shared universality class and chaotic properties for SYK-like models. We demonstrate that the coupled SYK system remains maximally chaotic in the large-$q$ limit at low temperatures. These findings establish robustness and open avenues for broader inquiries into the universality and chaos in complex quantum systems.
arXiv Detail & Related papers (2023-12-22T12:26:42Z)
Krylov Complexity and Dynamical Phase Transition in the quenched LMG model [0.0]
We explore the Krylov complexity in quantum states following a quench in the Lipkin-Meshkov-Glick model. Our results reveal that the long-term averaged Krylov complexity acts as an order parameter for this model. A matching dynamic behavior is observed in both bases when the initial state possesses a specific symmetry.
arXiv Detail & Related papers (2023-12-08T19:11:55Z)
Unbiasing time-dependent Variational Monte Carlo by projected quantum evolution [44.99833362998488]
We analyze the accuracy and sample complexity of variational Monte Carlo approaches to simulate quantum systems classically. We prove that the most used scheme, the time-dependent Variational Monte Carlo (tVMC), is affected by a systematic statistical bias. We show that a different scheme based on the solution of an optimization problem at each time step is free from such problems.
arXiv Detail & Related papers (2023-05-23T17:38:10Z)
Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
arXiv Detail & Related papers (2023-05-11T15:57:27Z)
Krylov complexity from integrability to chaos [0.0]
We apply a notion of quantum complexity, called "Krylov complexity", to study the evolution of systems from integrability to chaos. We investigate the integrable XXZ spin chain, enriched with an integrability breaking deformation that allows one to interpolate between integrable and chaotic behavior. We find that the chaotic system indeed approaches the RMT behavior in the appropriate symmetry class.
arXiv Detail & Related papers (2022-07-15T18:51:13Z)
Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model. The two-mode Dicke model exhibits normal to superradiant quantum phase transition. We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
arXiv Detail & Related papers (2022-07-08T11:16:29Z)
Locality of Spontaneous Symmetry Breaking and Universal Spacing Distribution of Topological Defects Formed Across a Phase Transition [62.997667081978825]
A continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM) We characterize the spatial distribution of point-like topological defects in the resulting nonequilibrium state and model it using a Poisson point process in arbitrary spatial dimension with KZM density.
arXiv Detail & Related papers (2022-02-23T19:00:06Z)
Simultaneous Transport Evolution for Minimax Equilibria on Measures [48.82838283786807]
Min-max optimization problems arise in several key machine learning setups, including adversarial learning and generative modeling. In this work we focus instead in finding mixed equilibria, and consider the associated lifted problem in the space of probability measures. By adding entropic regularization, our main result establishes global convergence towards the global equilibrium.
arXiv Detail & Related papers (2022-02-14T02:23:16Z)
Krylov Localization and suppression of complexity [0.0]
We investigate Krylov complexity for the case of interacting integrable models at finite size. We find that complexity saturation is suppressed as compared to chaotic systems. We demonstrate this behavior for an interacting integrable model, the XXZ spin chain.
arXiv Detail & Related papers (2021-12-22T18:45:32Z)
Towards quantum simulation of Sachdev-Ye-Kitaev model [5.931069258860319]
We study a simplified version of the Sachdev-Ye-Kitaev (SYK) model with real interactions by exact diagonalization. A quantum phase transition from a chaotic state to an integrable state is observed by increasing the discrete separation.
arXiv Detail & Related papers (2020-03-03T14:18:07Z)

This list is automatically generated from the titles and abstracts of the papers in this site.