Spread of Correlations in Strongly Disordered Lattice Systems with
Long-Range Coupling
- URL: http://arxiv.org/abs/2106.08240v2
- Date: Thu, 1 Jul 2021 08:26:37 GMT
- Title: Spread of Correlations in Strongly Disordered Lattice Systems with
Long-Range Coupling
- Authors: Karol Kawa and Pawe{\l} Machnikowski
- Abstract summary: We investigate the spread of correlations carried by an excitation in a 1-dimensional lattice system with high on-site energy disorder.
The increase in correlation between the initially quenched node and a given node exhibits three phases: quadratic in time, linear in time, and saturation.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the spread of correlations carried by an excitation in a
1-dimensional lattice system with high on-site energy disorder and long-range
couplings with a power-law dependence on the distance ($\propto r^{-\mu}$). The
increase in correlation between the initially quenched node and a given node
exhibits three phases: quadratic in time, linear in time, and saturation. No
further evolution is observed in the long time regime. We find an approximate
solution of the model valid in the limit of strong disorder and reproduce the
results of numerical simulations with analytical formulas. We also find the
time needed to reach a given correlation value as a measure of the propagation
speed. Because of the triple phase evolution of the correlation function the
propagation changes its time dependence. In the particular case of $\mu=1$, the
propagation starts as a ballistic motion, then, at a certain crossover time,
turns into standard diffusion.
Related papers
- 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) - Spectroscopy and complex-time correlations using minimally entangled typical thermal states [39.58317527488534]
We introduce a practical approach to computing such correlators using minimally entangled typical thermal states.
We show that these numerical techniques capture the finite-temperature dynamics of the Shastry-Sutherland model.
arXiv Detail & Related papers (2024-05-28T18:00:06Z) - Dynamics of correlation spreading in low-dimensional transverse-field
Ising models [0.0]
We investigate the dynamical spreading of correlations after a quantum quench starting from a magnetically disordered state in the transverse-field Ising model at one (1D) and two spatial dimensions (2D)
We analyze specifically the longitudinal and transverse spin-spin correlation functions at equal time with use of several methods.
Our findings provide useful benchmarks for quantum simulation experiments of correlation spreading and theoretical refinement of the Lieb-Robinson bound in the future.
arXiv Detail & Related papers (2023-01-04T02:02:21Z) - Indication of critical scaling in time during the relaxation of an open
quantum system [34.82692226532414]
Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields.
Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
arXiv Detail & Related papers (2022-08-10T05:59:14Z) - 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) - Entanglement and Correlation Spreading in non-Hermitian Spin Chains [0.0]
Non-Hermitian quantum many-body systems are attracting widespread interest for their exotic properties.
We study how quantum information and correlations spread under a quantum quench generated by a prototypical non-Hermitian spin chain.
arXiv Detail & Related papers (2022-01-24T19:00:02Z) - Entropy Production and the Role of Correlations in Quantum Brownian
Motion [77.34726150561087]
We perform a study on quantum entropy production, different kinds of correlations, and their interplay in the driven Caldeira-Leggett model of quantum Brownian motion.
arXiv Detail & Related papers (2021-08-05T13:11:05Z) - Odd Entanglement Entropy and Logarithmic Negativity for Thermofield
Double States [0.0]
We investigate the time evolution of odd entanglement entropy (OEE) and logarithmic negativity (LN) for the thermofield double (TFD) states.
We find that the time evolution pattern of OEE is a linear growth followed by saturation.
For disjoint intervals at fixed temperature, the vanishing of LN is observed for times $td/2$ (half of the distance between intervals)
arXiv Detail & Related papers (2021-06-29T14:40:04Z) - Measurement-induced dark state phase transitions in long-ranged fermion
systems [3.093890460224435]
We identify an unconventional scaling phase in the quantum dynamics of free fermions with long range hopping.
A perturbative renormalization group analysis suggests that the transitions to the long-range phase are also unconventional, corresponding to a modified sine-Gordon theory.
This confirms the view of a measurement-induced phase transition as a quantum phase transition in the dark state of an effective, non-Hermitian Hamiltonian.
arXiv Detail & Related papers (2021-05-17T18:00:03Z) - Decoherent Quench Dynamics across Quantum Phase Transitions [0.0]
We formulate decoherent dynamics induced by continuous quantum non-demolition measurements of the instantaneous Hamiltonian.
We generalize the well-studied universal Kibble-Zurek behavior for linear temporal drive across the critical point.
We show that the freeze-out time scale can be probed from the relaxation of the Hall conductivity.
arXiv Detail & Related papers (2021-03-14T23:43:55Z) - 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.