Distribution of quantum coherence and quantum phase transition in the Ising system

• URL: http://arxiv.org/abs/2001.10714v1
• Date: Wed, 29 Jan 2020 07:28:04 GMT
• Title: Distribution of quantum coherence and quantum phase transition in the Ising system
• Authors: Meng Qin
• Abstract summary: Quantifying quantum coherence of a given system plays an important role in quantum information science. We propose an analysis on the critical behavior of two types Ising systems when distribution of quantum coherence.
• Score: 2.318473106845779
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantifying of quantum coherence of a given system not only plays an important role in quantum information science but also promote our understanding on some basic problems, such as quantum phase transition. Conventional quantum coherence measurements, such as $l_1$ norm of coherence and relative entropy of coherence, has been widely used to study quantum phase transition, which usually are basis-dependent. The recent quantum version of the Jensen-Shannon divergence meet all the requirements of a good coherence measure. It is not only a metric but also can be basis-independent. Here, based on the quantum renormalization group method we propose an analysis on the critical behavior of two types Ising systems when distribution of quantum coherence. We directly obtain the trade-off relation, critical phenomena, singular behavior, and scaling behavior for both quantum block spin system. Furthermore, the monogamy relation in the multipartite system is also studied in detail. These new result expand the result that quantum coherence can decompose into various contributions as well as enlarge the applications in using basis-independent quantum coherence to reflect quantum critical phenomena.

Related papers

• Quantum steering ellipsoids and quantum obesity in critical systems [0.0]
  Quantum obesity (QO) is new function used to quantify quantum correlations beyond entanglement. We show that QO is a fundamental quantity to observe signature of quantum phase transitions.
  arXiv  Detail & Related papers  (2023-12-19T19:14:08Z)
• Diagnosing Quantum Phases Using Long-Range Two-Site Quantum Resource Behaviors [0.16777183511743465]
  We show that the behaviors of long-range, two-site quantum resources can effectively diagnose quantum phases. In particular, we discover the quantum resource freezing phenomenon, where topologically protected long-range quantum resources may have potential applications in quantum information processing.
  arXiv  Detail & Related papers  (2023-11-08T08:00:32Z)
• 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)
• Shared purity and concurrence of a mixture of ground and low-lying excited states as indicators of quantum phase transitions [0.0]
  We show that shared purity is as effective as concurrence in indicating quantum phase transitions. We find diverging exponents for the order parameters near the transitions in odd- and even-sized systems. It is plausible that the divergence is related to a M"obius strip-like boundary condition required for odd-sized systems.
  arXiv  Detail & Related papers  (2022-02-07T16:38:07Z)
• 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)
• Quantum coherence with incomplete set of pointers and corresponding wave-particle duality [0.0]
  Quantum coherence quantifies the amount of superposition in a quantum system. We develop the corresponding resource theory, identifying the free states and operations. We obtain a complementarity relation between the so-defined quantum coherence and the which-path information in an interferometric set-up.
  arXiv  Detail & Related papers  (2021-08-12T16:55:40Z)
• 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)
• 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)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)
• 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)

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.