Quantum Phase Transitions in the Spin 1 Bilinear-Biquadratic Heisenberg Model Based on Classical and Quantum Correlations

• URL: http://arxiv.org/abs/2412.20396v1
• Date: Sun, 29 Dec 2024 08:14:13 GMT
• Title: Quantum Phase Transitions in the Spin 1 Bilinear-Biquadratic Heisenberg Model Based on Classical and Quantum Correlations
• Authors: Ghader Najarbashi, Hassan Bahmani, Babak Tarighi,
• Abstract summary: We investigate thermal and nonthermal quantum correlations in the one dimensional spin 1 bilinear-biquadratic Heisenberg model. Our negativity analysis reveals nearly identical results at zero or very low temperatures. We argue that spin chains with an odd number of spins are more effective than those with an even number in identifying QPTs.
• Score: 0.0
• License:
• Abstract: We investigate thermal and nonthermal quantum correlations in the one dimensional spin 1 bilinear-biquadratic Heisenberg model. Using tools from quantum information theory such as generalized concurrence, negativity, and various measures of quantum, classical, and total correlations in bipartite states we demonstrate that these measures effectively identify quantum phase transitions (QPTs) at critical points. Our negativity analysis reveals nearly identical results at zero or very low temperatures. Importantly, we find that partial concurrence, defined with the reduced density matrix, detects more quantum critical points than total concurrence. Additionally, we argue that spin chains with an odd number of spins are more effective than those with an even number in identifying QPTs.

Related papers

• Analog Quantum Simulator of a Quantum Field Theory with Fermion-Spin Systems in Silicon [34.80375275076655]
  Mapping fermions to qubits is challenging in $2+1$ and higher spacetime dimensions. We propose a native fermion-(large-)spin analog quantum simulator by utilizing dopant arrays in silicon.
  arXiv  Detail & Related papers  (2024-07-03T18:00:52Z)
• Quantumness and quantum to classical transition in the generalized Rabi model [17.03191662568079]
  We define the quantumness of a Hamiltonian by the free energy difference between its quantum and classical descriptions. We show that the Jaynes-Cummings and anti Jaynes-Cummings models exhibit greater quantumness than the Rabi model.
  arXiv  Detail & Related papers  (2023-11-12T18:24:36Z)
• Reconstructing the spatial structure of quantum correlations in materials [0.0]
  Quantum correlations are a fundamental property of many-body states. Yet they remain elusive, hindering certification of genuine quantum materials. We show that momentumdependent dynamical behavior via neutron scattering enables a general family of quantum correlation.
  arXiv  Detail & Related papers  (2023-06-20T17:55:09Z)
• Quantum coherence assisted dynamical phase transition [0.0]
  We specialize our discussions on the one-dimensional transverse field quantum Ising model in the coherent Gibbs state. After quenching the strength of the transverse field, the effects of quantum coherence are studied by Fisher zeros, rate function and winding number.
  arXiv  Detail & Related papers  (2023-05-15T07:34:15Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Characterizing quantum criticality and steered coherence in the XY-Gamma chain [0.37498611358320727]
  We analytically solve the one-dimensional short-range interacting case with the Jordan-Wigner transformation. In the gapless phase, an incommensurate spiral order is manifested by the vector-chiral correlations. We derive explicit scaling forms of the excitation gap near the quantum critical points.
  arXiv  Detail & Related papers  (2022-06-08T15:28:10Z)
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses [58.720142291102135]
  We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels. The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe. We illustrate that such states are close to the optimal ones even with moderate losses.
  arXiv  Detail & Related papers  (2021-08-07T09:29:23Z)
• Experimental Validation of Fully Quantum Fluctuation Theorems Using Dynamic Bayesian Networks [48.7576911714538]
  Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small systems. We experimentally verify detailed and integral fully quantum fluctuation theorems for heat exchange using two quantum-correlated thermal spins-1/2 in a nuclear magnetic resonance setup.
  arXiv  Detail & Related papers  (2020-12-11T12:55:17Z)
• Characterizing quantum correlations in spin chains [0.0]
  We show that a single element of the density matrix carries the answer to how quantum is a chain of spins. This method can be used to tailor and witness highly non-classical effects in many-body systems. As a proof of principle, we investigate the extend of non-locality and entanglement in ground states and thermal states of experimentally accessible spin chains.
  arXiv  Detail & Related papers  (2020-05-19T17:25:37Z)
• 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)
• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond [46.39654665163597]
  We report on experimental tests of topological defect formation via the one-dimensional transverse-field Ising model. We find that the quantum simulator results can indeed be explained by the KZM for open-system quantum dynamics with phase-flip errors. This implies that the theoretical predictions of the generalized KZM theory, which assumes isolation from the environment, applies beyond its original scope to an open system.
  arXiv  Detail & Related papers  (2020-01-31T02:55:35Z)

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.