Characterizing the Lipkin-Meshkov-Glick excited spectrum through the quantum coherence spectrum
- URL: http://arxiv.org/abs/2209.02510v3
- Date: Sat, 01 Mar 2025 07:58:11 GMT
- Title: Characterizing the Lipkin-Meshkov-Glick excited spectrum through the quantum coherence spectrum
- Authors: Qian Wang, Francisco Pérez-Bernal,
- Abstract summary: We use the multiple quantum coherence spectrum as a valid tool to probe excited state quantum phase transitions within the framework of the Lipkin-Meshkov-Glick model.<n>The time dependence and the long-time average of the multiple quantum coherence spectrum reveal the intricate dynamics that stems from the existence of singularities in the excited spectrum of a quantum many-body system.
- Score: 7.142158555793151
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Excited-state quantum phase transitions extend the quantum phase transition concept beyond the ground state and offer insights into the complex behavior of quantum systems. In the present work, we assess the use of the multiple quantum coherence spectrum as a valid tool to probe excited state quantum phase transitions within the framework of the Lipkin-Meshkov-Glick model. The time dependence and the long-time average of the multiple quantum coherence spectrum reveal the intricate dynamics that stems from the existence of singularities in the excited spectrum of a quantum many-body system.
Related papers
- Extending Quantum Perceptrons: Rydberg Devices, Multi-Class Classification, and Error Tolerance [67.77677387243135]
Quantum Neuromorphic Computing (QNC) merges quantum computation with neural computation to create scalable, noise-resilient algorithms for quantum machine learning (QML)
At the core of QNC is the quantum perceptron (QP), which leverages the analog dynamics of interacting qubits to enable universal quantum computation.
arXiv Detail & Related papers (2024-11-13T23:56:20Z) - Benchmarking Variational Quantum Eigensolvers for Entanglement Detection in Many-Body Hamiltonian Ground States [37.69303106863453]
Variational quantum algorithms (VQAs) have emerged in recent years as a promise to obtain quantum advantage.
We use a specific class of VQA named variational quantum eigensolvers (VQEs) to benchmark them at entanglement witnessing and entangled ground state detection.
Quantum circuits whose structure is inspired by the Hamiltonian interactions presented better results on cost function estimation than problem-agnostic circuits.
arXiv Detail & Related papers (2024-07-05T12:06:40Z) - Quantum coarsening and collective dynamics on a programmable quantum simulator [27.84599956781646]
We experimentally study collective dynamics across a (2+1)D Ising quantum phase transition.
By deterministically preparing and following the evolution of ordered domains, we show that the coarsening is driven by the curvature of domain boundaries.
We quantitatively explore these phenomena and further observe long-lived oscillations of the order parameter, corresponding to an amplitude (Higgs) mode.
arXiv Detail & Related papers (2024-07-03T16:29:12Z) - Variational quantum state preparation for quantum-enhanced metrology in noisy systems [0.7652747219811168]
We simulate a low-depth variational quantum circuit (VQC) composed of a sequence of global rotations and entangling operations applied to a chain of qubits subject to dephasing noise.
We find that regardless of the details of the entangling operation implemented in the VQC, the optimal quantum states can be broadly classified into a trio of qualitative regimes.
Our findings are relevant for designing optimal state-preparation strategies for next-generation quantum sensors exploiting entanglement.
arXiv Detail & Related papers (2024-06-04T00:09:05Z) - Quantum State Transfer in Interacting, Multiple-Excitation Systems [41.94295877935867]
Quantum state transfer (QST) describes the coherent passage of quantum information from one node to another.
We describe Monte Carlo techniques which enable the discovery of a Hamiltonian that gives high-fidelity QST.
The resulting Jaynes-Cummings-Hubbard and periodic Anderson models can, in principle, be engineered in appropriate hardware to give efficient QST.
arXiv Detail & Related papers (2024-05-10T23:46:35Z) - Quantum reservoir probing of quantum phase transitions [0.0]
We show that quantum phase transitions can be detected through localized out-of-equilibrium excitations induced by local quantum quenches.
The impacts of the local quenches vary across different quantum phases and are significantly suppressed by quantum fluctuations amplified near quantum critical points.
We demonstrate that the QRP can detect quantum phase transitions in the paradigmatic integrable and nonintegrable quantum spin systems, and even topological quantum phase transitions.
arXiv Detail & Related papers (2024-02-11T03:53:01Z) - Mitigating Errors on Superconducting Quantum Processors through Fuzzy
Clustering [38.02852247910155]
A new Quantum Error Mitigation (QEM) technique uses Fuzzy C-Means clustering to specifically identify measurement error patterns.
We report a proof-of-principle validation of the technique on a 2-qubit register, obtained as a subset of a real NISQ 5-qubit superconducting quantum processor.
We demonstrate that the FCM-based QEM technique allows for reasonable improvement of the expectation values of single- and two-qubit gates based quantum circuits.
arXiv Detail & Related papers (2024-02-02T14:02:45Z) - Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
We explore the applicability of quantum-data learning to practical problems in high-energy physics.
We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states.
The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
arXiv Detail & Related papers (2023-06-29T18:00:01Z) - Multipartite Entanglement in the Measurement-Induced Phase Transition of
the Quantum Ising Chain [77.34726150561087]
External monitoring of quantum many-body systems can give rise to a measurement-induced phase transition.
We show that this transition extends beyond bipartite correlations to multipartite entanglement.
arXiv Detail & Related papers (2023-02-13T15:54:11Z) - Quantum Federated Learning with Entanglement Controlled Circuits and
Superposition Coding [44.89303833148191]
We develop a depth-controllable architecture of entangled slimmable quantum neural networks (eSQNNs)
We propose an entangled slimmable QFL (eSQFL) that communicates the superposition-coded parameters of eS-QNNs.
In an image classification task, extensive simulations corroborate the effectiveness of eSQFL.
arXiv Detail & Related papers (2022-12-04T03:18:03Z) - Excited state quantum phase transition and Loschmidt echo spectrum in a
spinor Bose-Einstein condensate [8.402742655847774]
We show that the time evolved and long time averaged Loschmidt echo spectrum undergo a remarkable change as the system passes through the ESQPT.
Our findings contribute to a further verification of the usefulness of the Loschmidt echo spectrum for witnessing various quantum phase transitions in many-body systems.
arXiv Detail & Related papers (2022-11-28T08:52:59Z) - Probing phase transitions in non-Hermitian systems with Multiple Quantum
Coherences [0.0]
We show the usefulness of multiple quantum coherences for probing equilibrium phase transitions in non-Hermitian systems.
Our results have applications to non-Hermitian quantum sensing, quantum thermodynamics, and in the study of the non-Hermitian skin effect.
arXiv Detail & Related papers (2021-09-06T14:30:47Z) - Efficient criteria of quantumness for a large system of qubits [58.720142291102135]
We discuss the dimensionless combinations of basic parameters of large, partially quantum coherent systems.
Based on analytical and numerical calculations, we suggest one such number for a system of qubits undergoing adiabatic evolution.
arXiv Detail & Related papers (2021-08-30T23:50:05Z) - Imaginary Time Propagation on a Quantum Chip [50.591267188664666]
Evolution in imaginary time is a prominent technique for finding the ground state of quantum many-body systems.
We propose an algorithm to implement imaginary time propagation on a quantum computer.
arXiv Detail & Related papers (2021-02-24T12:48:00Z) - Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor.
We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
arXiv Detail & Related papers (2021-01-21T22:18:49Z) - Observation of many-body quantum phase transitions beyond the
Kibble-Zurek mechanism [4.911749334377798]
We improve the band-mapping method to investigate the quantum phase transition from superfluid to Mott insulators.
We observe the critical behaviors of quantum phase transitions in both dynamical steady-state-relaxation region and phase-oscillation region.
arXiv Detail & Related papers (2020-12-03T07:21:57Z) - Quasiclassical approach to quantum quench dynamics in the presence of an
excited-state quantum phase transition [0.0]
Recent works have shown, using exact quantum mechanical approach, that equilibration after quantum quench exhibits specific features in the presence of excited-state quantum phase transitions.
We demonstrate that these features can be understood from the classical evolution of the Wigner function in phase space.
arXiv Detail & Related papers (2020-10-15T13:49:48Z) - Unraveling the topology of dissipative quantum systems [58.720142291102135]
We discuss topology in dissipative quantum systems from the perspective of quantum trajectories.
We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
arXiv Detail & Related papers (2020-07-12T11:26:02Z) - Relating relative R\'enyi entropies and Wigner-Yanase-Dyson skew
information to generalized multiple quantum coherences [0.0]
We investigate the $alpha$-MQCs, a novel class of multiple quantum coherences based on $alpha$-relative purity.
Our framework enables linking $alpha$-MQCs to Wigner-Yanase-Dyson skew information.
We illustrate these ideas for quantum systems described by single-qubit states, two-qubit Bell-diagonal states, and a wide class of multiparticle mixed states.
arXiv Detail & Related papers (2020-02-25T21:12:32Z) - 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) - Detecting dynamical quantum phase transition via out-of-time-order
correlations in a solid-state quantum simulator [12.059058714600607]
We develop and experimentally demonstrate that out-of-time-order correlators can be used to detect nonoequilibrium phase transitions in the transverse field Ising model.
Further applications of this protocol could enable studies other of exotic phenomena such as many body localization, and tests of the holographic duality between quantum and gravitational systems.
arXiv Detail & Related papers (2020-01-17T14:28:42Z) - Experimental Observation of Equilibrium and Dynamical Quantum Phase
Transitions via Out-of-Time-Ordered Correlators [14.389514788367086]
We report the first experimental observation of EQPTs and DQPTs in a quantum spin chain via quench dynamics of OTOC on a nuclear magnetic resonance quantum simulator.
We demonstrate that the long-time average value of the OTOC in quantum quench signals the equilibrium quantum critical point and ordered quantum phases.
arXiv Detail & Related papers (2019-12-27T09:35:07Z)
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.