Gr\"uneisen parameter as an entanglement compass
- URL: http://arxiv.org/abs/2306.00566v1
- Date: Thu, 1 Jun 2023 11:28:40 GMT
- Title: Gr\"uneisen parameter as an entanglement compass
- Authors: Lucas Squillante, Luciano S. Ricco, Aniekan Magnus Ukpong, Roberto E.
Lagos-Monaco, Antonio C. Seridonio, and Mariano de Souza
- Abstract summary: Gr"uneisen ratio $Gamma$, i.e., the singular part of the ratio of thermal expansion to the specific heat, has been broadly employed to explore both finite-$T$ and quantum critical points (QCPs)
We propose a quantum analogue to $Gamma$ that computes entanglement as a function of a tuning parameter and show that QPTs take place only for quadratic non-diagonal Hamiltonians.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The Gr\"uneisen ratio $\Gamma$, i.e., the singular part of the ratio of
thermal expansion to the specific heat, has been broadly employed to explore
both finite-$T$ and quantum critical points (QCPs). For a genuine quantum phase
transition (QPT), thermal fluctuations are absent and thus the thermodynamic
$\Gamma$ cannot be employed. We propose a quantum analogue to $\Gamma$ that
computes entanglement as a function of a tuning parameter and show that QPTs
take place only for quadratic non-diagonal Hamiltonians. We showcase our
approach using the quantum 1D Ising model with transverse field and Kane's
quantum computer. The slowing down of the dynamics and thus the ``creation of
mass'' close to any QCP/QPT is also discussed.
Related papers
- Finite temperature detection of quantum critical points: a comparative study [0.0]
We investigate how the quantum discord, the quantum teleportation based QCP detectors, and the quantum coherence spectrum pinpoint the QCPs of several spin-$1/2$ chains.
The models here studied are the $XXZ$ model with and without an external longitudinal magnetic field, the Ising transverse model, and the $XY$ model subjected to an external transverse magnetic field.
arXiv Detail & Related papers (2024-06-14T16:57:02Z) - Interferometric Geometric Phases of $\mathcal{PT}$-symmetric Quantum
Mechanics [7.482978776412444]
We present a generalization of the geometric phase to pure and thermal states in $mathcalPT$-symmetric quantum mechanics.
The formalism first introduces the parallel-transport conditions of quantum states and reveals two geometric phases, $theta1$ and $theta2$, for pure states in PTQM.
arXiv Detail & Related papers (2024-01-15T03:01:07Z) - Variational-quantum-eigensolver-inspired optimization for spin-chain work extraction [39.58317527488534]
Energy extraction from quantum sources is a key task to develop new quantum devices such as quantum batteries.
One of the main issues to fully extract energy from the quantum source is the assumption that any unitary operation can be done on the system.
We propose an approach to optimize the extractable energy inspired by the variational quantum eigensolver (VQE) algorithm.
arXiv Detail & Related papers (2023-10-11T15:59:54Z) - Wasserstein Quantum Monte Carlo: A Novel Approach for Solving the
Quantum Many-Body Schr\"odinger Equation [56.9919517199927]
"Wasserstein Quantum Monte Carlo" (WQMC) uses the gradient flow induced by the Wasserstein metric, rather than Fisher-Rao metric, and corresponds to transporting the probability mass, rather than teleporting it.
We demonstrate empirically that the dynamics of WQMC results in faster convergence to the ground state of molecular systems.
arXiv Detail & Related papers (2023-07-06T17:54:08Z) - Dynamical quantum phase transitions in spin-$S$ $\mathrm{U}(1)$ quantum
link models [0.0]
Dynamical quantum phase transitions (DQPTs) are a powerful concept of probing far-from-equilibrium criticality in quantum many-body systems.
We use infinite matrix product state techniques to study DQPTs in spin-$S$ $mathrmU(1)$ quantum link models.
Our findings indicate that DQPTs are fundamentally different between the Wilson--Kogut--Susskind limit and its representation through the quantum link formalism.
arXiv Detail & Related papers (2022-03-02T19:00:02Z) - Finite-Size Scaling Analysis of the Planck's Quantum-Driven Integer
Quantum Hall Transition in Spin-$1/2$ Kicked Rotor Model [3.819941837571746]
The quantum kicked rotor (QKR) model is a prototypical system in the research of quantum chaos.
In this work, we devise and apply the finite-size scaling analysis to the transitions in the spin-$1/2$ QKR model.
arXiv Detail & Related papers (2021-12-06T02:51:31Z) - Evolution of a Non-Hermitian Quantum Single-Molecule Junction at
Constant Temperature [62.997667081978825]
We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments.
We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
arXiv Detail & Related papers (2021-01-21T14:33:34Z) - Hamiltonian operator approximation for energy measurement and ground
state preparation [23.87373187143897]
We show how to approximate the Hamiltonian operator as a sum of propagators using a differential representation.
The proposed approach, named Hamiltonian operator approximation (HOA), is designed to benefit analog quantum simulators.
arXiv Detail & Related papers (2020-09-07T18:11:00Z) - Quantum-optimal-control-inspired ansatz for variational quantum
algorithms [105.54048699217668]
A central component of variational quantum algorithms (VQA) is the state-preparation circuit, also known as ansatz or variational form.
Here, we show that this approach is not always advantageous by introducing ans"atze that incorporate symmetry-breaking unitaries.
This work constitutes a first step towards the development of a more general class of symmetry-breaking ans"atze with applications to physics and chemistry problems.
arXiv Detail & Related papers (2020-08-03T18:00:05Z) - Testing a quantum annealer as a quantum thermal sampler [0.3437656066916039]
We study the diagonal thermal properties of the canonical one-dimensional transverse-field Ising model on a D-Wave 2000Q quantum annealing processor.
We find that the quantum processor fails to produce the correct expectation values predicted by Quantum Monte Carlo.
It remains an open question what thermal expectation values can be robustly estimated in general for arbitrary quantum many-body systems.
arXiv Detail & Related papers (2020-02-29T23:06:39Z) - 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.