Quantum Liang Information Flow vs. Out-of-Time-Order Correlators as Chaos Diagnostics in the Mixed-Field Ising Chain
- URL: http://arxiv.org/abs/2603.15315v1
- Date: Mon, 16 Mar 2026 14:09:42 GMT
- Title: Quantum Liang Information Flow vs. Out-of-Time-Order Correlators as Chaos Diagnostics in the Mixed-Field Ising Chain
- Abstract summary: We show that the early-time power-law growth and wavefront propagation velocity of QLIF are identical for integrable and chaotic parameters.<n>We identify the time-integrated QLIF as a late-time chaos diagnostic.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We systematically compare Quantum Liang Information Flow (QLIF) a recently proposed causal information measure with the out-of-time-order correlator (OTOC) as diagnostics of quantum chaos in the one-dimensional mixed-field Ising chain. Using exact diagonalization and MPS-TEBD, we show that the early-time power-law growth and wavefront propagation velocity of QLIF are identical for integrable and chaotic parameters, being controlled solely by the local Hamiltonian structure. The QLIF signal strength depends sensitively on the initial state, spanning four orders of magnitude across product states, ground state eigenstate evolution, and quantum quench protocols. We identify the time-integrated QLIF as a late-time chaos diagnostic: it grows linearly (monotonically) in chaotic systems, reflecting irreversible thermalization, while saturating or oscillating in integrable systems, reflecting reversible quasiparticle dynamics. These findings establish QLIF as a complementary probe to OTOC, with distinct optimal operating regimes.
Related papers
- Quantum Fisher information in a quenched $p + ip$ superfluid [0.0]
The quantum Fisher information (QFI) is widely used to characterize quantum phases and transitions.<n>We study the QFI of the long-time state of a two-dimensional p+ip superfluid in equilibrium.<n>Our results show that driving the system out of equilibrium can enhance the diagnostic power of the QI.
arXiv Detail & Related papers (2026-08-21T14:35:23Z) - Quantum mutual information as a robust probe of integrability in open quantum systems [0.0]
We introduce an information-theoretic framework based on the Haar-averaged sum of total correlations (aSTC)<n>We show that the temporal fluctuations of the aSTC provide a faithful and system-size-independent signature of integrable and chaotic dynamics.<n>We observe that in the non-Markovian domain, information backflow restores the scrambling dynamics, enabling the aSTC to retain its distinguishing power even at long times.
arXiv Detail & Related papers (2026-07-02T17:28:38Z) - Sensing ac fields with quantum many-body scars [39.146761527401424]
Quantum many-body scars exhibit weak ergodicity breaking and long-lived coherent dynamics.<n>We show that the approximately uniform energy spacing of the scar tower enables collective resonant processes.<n>Our results establish how to leverage structured non-ergodic dynamics in quantum sensing protocols.
arXiv Detail & Related papers (2026-06-04T18:02:00Z) - Entanglement-facilitated macroscopic cluster formation in quantum many-body dynamics [42.89492957665636]
We find that initial-state entanglement suppresses the proliferation of true-vacuum bubbles and stabilises macroscopic connected clusters.<n>Our results establish a connection between initial-state preparation and the preservation of global structures.
arXiv Detail & Related papers (2026-05-21T18:21:14Z) - Quantum timekeeping and the dynamics of scrambling in critical systems [0.0]
We show that local subsystems of information scrambling systems naturally function as quantum stopwatches.<n>Treating time as the estimation parameter, we derive a generalized quantum Cramer-Rao bound.<n>Using a scaling analysis based on imaginary-time correlators, we show that the subsystem QFI exhibits universal critical amplification near quantum phase transitions.
arXiv Detail & Related papers (2026-03-13T14:21:49Z) - Continual Quantum Architecture Search with Tensor-Train Encoding: Theory and Applications to Signal Processing [68.35481158940401]
CL-QAS is a continual quantum architecture search framework.<n>It mitigates challenges of costly encoding amplitude and forgetting in variational quantum circuits.<n>It achieves controllable robustness expressivity, sample-efficient generalization, and smooth convergence without barren plateaus.
arXiv Detail & Related papers (2026-01-10T02:36:03Z) - Signatures of quantum chaos and complexity in the Ising model on random graphs [0.0]
We investigate quantum chaos and complexity in the quantum annealing Ising model on random ErdHos-R'enyi graphs.<n>We study deep thermalization of a quantum state ensemble as an indicator of chaotic dynamics.<n>We also investigate a quantum analogue of the Mpemba effect, where initially "hotter" states can thermalize anomalously fast.
arXiv Detail & Related papers (2025-08-04T18:43:43Z) - Transient and steady-state chaos in dissipative quantum systems [0.0]
Dissipative quantum chaos plays a central role in the characterization and control of information scrambling, non-unitary evolution, and thermalization.<n>We introduce a random matrix toy model and show that Ginibre spectral statistics signals short-time chaos rather than steady-state chaos.
arXiv Detail & Related papers (2025-06-05T18:00:13Z) - Kicking Quantum Fisher Information out of Equilibrium [0.0]
Quantum Fisher Information is a ubiquitous quantity with applications ranging from quantum metrology to condensed matter physics.<n>We reveal a natural mechanism that amplifies the QFI in a quantum spin chain with a zero-temperature ordered phase.<n>We revisit the behavior of the quantum Fisher information after a global quench in the thermodynamic limit.
arXiv Detail & Related papers (2025-03-27T18:30:58Z) - Quantum information scrambling in adiabatically-driven critical systems [49.1574468325115]
Quantum information scrambling refers to the spread of the initially stored information over many degrees of freedom of a quantum many-body system.
Here, we extend the notion of quantum information scrambling to critical quantum many-body systems undergoing an adiabatic evolution.
arXiv Detail & Related papers (2024-08-05T18:00:05Z) - Genuine Multipartite Correlations in a Boundary Time Crystal [56.967919268256786]
We study genuine multipartite correlations (GMC's) in a boundary time crystal (BTC)
We analyze both (i) the structure (orders) of GMC's among the subsystems, as well as (ii) their build-up dynamics for an initially uncorrelated state.
arXiv Detail & Related papers (2021-12-21T20:25:02Z) - Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
Quantum-body systems display rich phase structure in their low-temperature equilibrium states.
We experimentally observe an eigenstate-ordered DTC on superconducting qubits.
Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
arXiv Detail & Related papers (2021-07-28T18:00:03Z) - Scaling of temporal entanglement in proximity to integrability [0.0]
We analytically compute the exact IM for a family of integrable Floquet models.
We show that the IM exhibits area-law temporal entanglement scaling for all parameter values.
Near criticality, a non-trivial scaling behavior of temporal entanglement is found.
arXiv Detail & Related papers (2021-04-15T17:16:57Z) - Feedback-induced instabilities and dynamics in the Jaynes-Cummings model [62.997667081978825]
We investigate the coherence and steady-state properties of the Jaynes-Cummings model subjected to time-delayed coherent feedback.
The introduced feedback qualitatively modifies the dynamical response and steady-state quantum properties of the system.
arXiv Detail & Related papers (2020-06-20T10:07:01Z)
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.