Quasilocal entanglement across the Mott-Hubbard transition
- URL: http://arxiv.org/abs/2308.13706v2
- Date: Fri, 8 Mar 2024 15:34:10 GMT
- Title: Quasilocal entanglement across the Mott-Hubbard transition
- Authors: Gabriele Bellomia, Carlos Mejuto-Zaera, Massimo Capone, Adriano
Amaricci
- Abstract summary: We provide an alternative view of the Mott transition in the two-dimensional Hubbard model in terms of rigorous quasilocal measures of entanglement.
A space-resolved analysis of cluster dynamical mean-field theory results elucidates the prominent role of the nearest-neighbor entanglement in probing Mott localization.
Results resolve a conundrum of previous analyses based on the single-site von Neumann entropy, which has been found to monotonically decrease when the interaction is increased.
- Score: 1.0923877073891446
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The possibility to directly measure, in a cold-atom quantum simulator, the
von Neumann entropy and mutual information between a site and its environment
opens new perspectives on the characterization of the Mott-Hubbard
metal-insulator transition, in the framework of quantum information theory. In
this work we provide an alternative view of the Mott transition in the
two-dimensional Hubbard model in terms of rigorous quasilocal measures of
entanglement and correlation between two spatially separated electronic
orbitals, with no contribution from their environment. A space-resolved
analysis of cluster dynamical mean-field theory results elucidates the
prominent role of the nearest-neighbor entanglement in probing Mott
localization: both its lower and upper bounds sharply increase at the
metal-insulator transition. The two-site entanglement beyond nearest neighbors
is shown to be quickly damped as the inter-site distance is increased. These
results ultimately resolve a conundrum of previous analyses based on the
single-site von Neumann entropy, which has been found to monotonically decrease
when the interaction is increased. The quasilocal two-site entanglement
recovers instead the distinctive character of Mott insulators as strongly
correlated quantum states, demonstrating its central role in the $2d$ Hubbard
model.
Related papers
- Softening of Majorana edge states by long-range couplings [77.34726150561087]
Long-range couplings in the Kitaev chain is shown to modify the universal scaling of topological states close to the critical point.
We prove that the Majorana states become increasingly delocalised at a universal rate which is only determined by the interaction range.
arXiv Detail & Related papers (2023-01-29T19:00:08Z) - Slow semiclassical dynamics of a two-dimensional Hubbard model in
disorder-free potentials [77.34726150561087]
We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times.
In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
arXiv Detail & Related papers (2022-10-03T16:51:25Z) - Tuning long-range fermion-mediated interactions in cold-atom quantum
simulators [68.8204255655161]
Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior.
Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
arXiv Detail & Related papers (2022-03-31T13:32:12Z) - Accessing the topological Mott insulator in cold atom quantum simulators
with realistic Rydberg dressing [58.720142291102135]
We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices.
We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation.
We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
arXiv Detail & Related papers (2022-03-28T14:55:28Z) - Localization and melting of interfaces in the two-dimensional quantum
Ising model [0.0]
We study the non-equilibrium evolution of coexisting ferromagnetic domains in the two-dimensional quantum Ising model.
We demonstrate that the quantum-fluctuating interface delimiting a large bubble can be studied as an effective one-dimensional system.
arXiv Detail & Related papers (2022-03-17T17:48:51Z) - Quantum correlations, entanglement spectrum and coherence of
two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
We study the ground state properties of the one-dimensional extended Hubbard model at half-filling.
In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
arXiv Detail & Related papers (2021-10-29T21:02:24Z) - Dynamical quantum phase transitions in the one-dimensional extended
Fermi-Hubbard model [0.0]
We study the emergence of dynamical quantum phase transitions (DQPTs) in a half-filled one-dimensional lattice.
We identify several types of sudden interaction quenches which lead to DQPTs.
State-of-the-art cold-atom quantum simulators constitute ideal platforms to implement several reported DQPTs experimentally.
arXiv Detail & Related papers (2021-09-16T04:12:50Z) - Ergodicity breaking in an incommensurate system observed by OTOCs and
Loschmidt Echoes: From quantum diffusion to sub-diffusion [0.0]
We propose a new observable to study the transition in a spin chain under the disorder'' of a Harper-Hofstadter-Aubry-Andr'e on-site potential.
In the absence of many-body interactions, the ZOGE coincides with the inverse participation ratio of a Fermionic wave function.
arXiv Detail & Related papers (2021-06-14T12:41:32Z) - Entanglement and classical correlations at the doping-driven Mott
transition in the two-dimensional Hubbard model [0.0]
We study the doped Hubbard model in two dimensions from the perspective of quantum information theory.
We find that upon varying doping these two entanglement-related properties detect the Mott insulating phase, the strongly correlated pseudogap phase, and the metallic phase.
arXiv Detail & Related papers (2020-07-01T15:48:48Z) - Exploring 2D synthetic quantum Hall physics with a quasi-periodically
driven qubit [58.720142291102135]
Quasi-periodically driven quantum systems are predicted to exhibit quantized topological properties.
We experimentally study a synthetic quantum Hall effect with a two-tone drive.
arXiv Detail & Related papers (2020-04-07T15:00:41Z) - Correlation-induced steady states and limit cycles in driven dissipative
quantum systems [0.0]
We study a driven-dissipative model of spins one-half (qubits) on a lattice with nearest-neighbor interactions.
We characterize the spatial structure of the correlations in the steady state, as well as their temporal dynamics.
arXiv Detail & Related papers (2020-01-15T18:38:39Z)
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.