Quantum criticality of bandwidth-controlled Mott transition
- URL: http://arxiv.org/abs/2302.14605v2
- Date: Thu, 2 Mar 2023 14:48:11 GMT
- Title: Quantum criticality of bandwidth-controlled Mott transition
- Authors: Kensaku Takai, Youhei Yamaji, Fakher F. Assaad and Masatoshi Imada
- Abstract summary: Metallic states near the Mott insulator show a variety of quantum phases including various magnetic, charge ordered states and high-temperature superconductivity.
The quantum criticality is, however, not well understood when the transition is controlled by the bandwidth through physical parameters such as pressure.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Metallic states near the Mott insulator show a variety of quantum phases
including various magnetic, charge ordered states and high-temperature
superconductivity in various transition metal oxides and organic solids. The
emergence of a variety of phases and their competitions are likely intimately
associated with quantum transitions between the electron-correlation driven
Mott insulator and metals characterized by its criticality, and is related to
many central questions of condensed matter. The quantum criticality is,
however, not well understood when the transition is controlled by the bandwidth
through physical parameters such as pressure. Here, we quantitatively estimate
the universality class of the transition characterized by a comprehensive set
of critical exponents by using a variational Monte Carlo method implemented as
an open-source innovated quantum many-body solver, with the help of established
scaling laws at a typical bandwidth-controlled Mott transition. The criticality
indicates a weaker charge and density instability in contrast to the
filling-controlled transition realized by carrier doping, implying a weaker
instability to superconductivity as well. The present comprehensive
clarification opens up a number of routes for quantitative experimental studies
for complete understanding of elusive quantum Mott transition and nearby
strange metal that cultivate future design of functionality.
Related papers
- Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution.
We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions.
We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
arXiv Detail & Related papers (2024-05-27T17:40:39Z) - Equivariant Variational Quantum Eigensolver to detect Phase Transitions through Energy Level Crossings [0.0]
We introduce an equivariant quantum circuit that preserves the total spin and the translational symmetry to accurately describe singlet and triplet excited states.
We also assess the impact of noise on the variational state, showing that conventional mitigation techniques like Zero Noise Extrapolation reliably restore its physical properties.
arXiv Detail & Related papers (2024-03-11T18:51:57Z) - Dipolar quantum solids emerging in a Hubbard quantum simulator [45.82143101967126]
Long-range and anisotropic interactions promote rich spatial structure in quantum mechanical many-body systems.
We show that novel strongly correlated quantum phases can be realized using long-range dipolar interaction in optical lattices.
This work opens the door to quantum simulations of a wide range of lattice models with long-range and anisotropic interactions.
arXiv Detail & Related papers (2023-06-01T16:49:20Z) - Quantifying measurement-induced quantum-to-classical crossover using an
open-system entanglement measure [49.1574468325115]
We study the entanglement of a single particle under continuous measurements.
We find that the entanglement at intermediate time scales shows the same qualitative behavior as a function of the measurement strength.
arXiv Detail & Related papers (2023-04-06T09:45:11Z) - Dynamical quantum phase transitions in a spinor Bose-Einstein condensate
and criticality enhanced quantum sensing [2.3046646540823916]
Quantum phase transitions universally exist in the ground and excited states of quantum many-body systems.
We unravel that both the ground and excited-state quantum phase transitions in spinor condensates can be diagnosed with dynamical phase transitions.
This work advances the exploration of excited-state quantum phase transitions via a scheme that can immediately be applied to a broad class of few-mode quantum systems.
arXiv Detail & Related papers (2022-09-23T05:27:17Z) - Nonequilibrium phase transition in a driven-dissipative quantum
antiferromagnet [0.0]
This paper provides a numerical study of dynamical phases and the transitions between them in the nonequilibrium steady state of the prototypical two-dimensional Heisenberg antiferromagnet with drive and dissipation.
A finite-size analysis reveals static and dynamical critical scaling at the transition, with a discontinuous slope of the magnon number versus driving field strength and critical slowing down at the transition point.
arXiv Detail & Related papers (2021-07-08T13:35:00Z) - Coherent and dissipative dynamics at quantum phase transitions [0.0]
Presentation is limited to issues related to, and controlled by, the quantum transition developed by closed many-body systems.
We focus on the physical conditions giving rise to a nontrivial interplay between critical modes and various dissipative mechanisms.
arXiv Detail & Related papers (2021-03-03T19:00:58Z) - Probing the coherence of solid-state qubits at avoided crossings [51.805457601192614]
We study the quantum dynamics of paramagnetic defects interacting with a nuclear spin bath at avoided crossings.
The proposed theoretical approach paves the way to designing the coherence properties of spin qubits from first principles.
arXiv Detail & Related papers (2020-10-21T15:37:59Z) - Spin-boson quantum phase transition in multilevel superconducting qubits [3.952191799203902]
We show that the intrinsic multilevel structure of superconducting qubits drastically restricts the validity of the spin-boson paradigm due to phase localization.
Imposing charge discreteness in a simple variational state accounts for these multilevel effects, that are relevant for a large class of devices.
arXiv Detail & Related papers (2020-10-02T14:05:27Z) - Universality of entanglement transitions from stroboscopic to continuous
measurements [68.8204255655161]
We show that the entanglement transition at finite coupling persists if the continuously measured system is randomly nonintegrable.
This provides a bridge between a wide range of experimental settings and the wealth of knowledge accumulated for the latter systems.
arXiv Detail & Related papers (2020-05-04T21:45:59Z) - Quantum Statistical Complexity Measure as a Signalling of Correlation
Transitions [55.41644538483948]
We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions.
We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain.
We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
arXiv Detail & Related papers (2020-02-05T00:45:21Z)
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.