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The operational structure of quantum couplings and entanglements is studied and classified for semifinite von Neumann algebras. We show that the classical-quantum correspondences such as quantum encodings can be treated as diagonal…

Quantum Physics · Physics 2009-11-07 V. P. Belavkin , M. Ohya

The insertion of a magnetic impurity in a superconductor induces a first order quantum phase transition as the coupling to the electronic spin density increases. As the transition is crossed, a discontinuity is exhibited by various…

Superconductivity · Physics 2009-11-13 P. D. Sacramento , P. Nogueira , V. R. Vieira , V. K. Dugaev

We investigate the geometric characterization of pure state bipartite entanglement of $(2\times{D})$- and $(3\times{D})$-dimensional composite quantum systems. To this aim, we analyze the relationship between states and their images under…

Quantum Physics · Physics 2007-10-02 Salvatore M. Giampaolo , Fabrizio Illuminati

We study the quantum entanglement caused by unitary operators that have classical limits that can range from the near integrable to the completely chaotic. Entanglement in the eigenstates and time-evolving arbitrary states is studied…

Chaotic Dynamics · Physics 2009-10-31 Arul Lakshminarayan

We propose a new viewpoint on the study of localization transitions in disordered quantum systems, showing how critical properties can be seen also as a geometric transition in the data space generated by the classically encoded…

Disordered Systems and Neural Networks · Physics 2024-07-16 Carlo Vanoni , Vittorio Vitale

Considering a "random walk in a random environment" in a topologically closed circuit, we explore the implications of the percolation and sliding transitions for its relaxation modes. A complementary question regarding the "delocalization"…

Statistical Mechanics · Physics 2016-03-11 Daniel Hurowitz , Doron Cohen

In this paper, we discuss the connection between two genuinely quantum phenomena --- the discontinuity of quantum maximum entropy inference and quantum phase transitions at zero temperature. It is shown that the discontinuity of the maximum…

Quantum Physics · Physics 2015-08-14 Jianxin Chen , Zhengfeng Ji , Chi-Kwong Li , Yiu-Tung Poon , Yi Shen , Nengkun Yu , Bei Zeng , Duanlu Zhou

The quantum entanglement entropy of the electrons in one-dimensional hydrogen molecule is quantified locally using an appropriate partitioning of the two-dimensional configuration space. Both the global and the local entanglement entropy…

Quantum Physics · Physics 2025-10-24 Ivan P. Christov

We study the entropy of entanglement of the ground state in a wide family of one-dimensional quantum spin chains whose interaction is of finite range and translation invariant. Such systems can be thought of as generalizations of the XY…

Mathematical Physics · Physics 2009-11-13 A. R. Its , F. Mezzadri , M. Y. Mo

The density matrix equations of motion in near-degenerate three-level V-type closed-loop atomic system are calculated numerically in Floquet frame. The dynamical behavior of atom- photon entanglement between the dressed atom and its…

Atomic and Molecular Clusters · Physics 2015-07-01 Zeinab Kordi , Saeed Ghanbari , Mohammad Mahmoudi

The von Neumann entanglement entropy is studied with the density-matrix renormalization group technique. We propose a simple approach to calculate the central charge using the entanglement entropy for one-dimensional (1D) quantum system.…

Strongly Correlated Electrons · Physics 2015-05-30 Satoshi Nishimoto

Using the 3rd quantization formalism we study the quantum entanglement of universes created in pairs within the framework of standard homogeneous and isotropic cosmology. In particular, we investigate entanglement quantities (entropy,…

General Relativity and Quantum Cosmology · Physics 2021-02-10 Adam Balcerzak , Samuel Barroso-Bellido , Mariusz P. Dabrowski , Salvador Robles-Perez

Much has been learned regarding dynamical quantum phase transition (DQPT) due to sudden quenches across quantum critical points in traditional quantum systems. However, not much has been explored when a system undergoes a…

Quantum Gases · Physics 2021-06-29 Ranjan Modak , Debraj Rakshit

We study the level-spacing statistics in the entanglement spectrum of output states of random universal quantum circuits where qubits are subject to a finite probability of projection to the computational basis at each time step. We…

We consider the spectral and dynamical properties of quantum systems of $n$ particles on the lattice $\Z^d$, of arbitrary dimension, with a Hamiltonian which in addition to the kinetic term includes a random potential with iid values at the…

Mathematical Physics · Physics 2015-05-13 Michael Aizenman , Simone Warzel

Quantum phase transition in the one-dimensional period-two and uniform quantum compass model are studied by using the pseudo-spin transformation method and the trace map method. The exact solutions are presented, the fidelity, the…

Strongly Correlated Electrons · Physics 2009-11-13 Ke-Wei Sun , Yu-Yu Zhang , Qing-Hu Chen

The pseudogap Anderson impurity model provides a paradigm for understanding local quantum phase transitions, in this case between generalised fermi liquid and degenerate local moment phases. Here we develop a non-perturbative local moment…

Strongly Correlated Electrons · Physics 2009-11-10 Matthew T Glossop , David E Logan

Power-law random banded unitary matrices (PRBUM), whose matrix elements decay in a power-law fashion, were recently proposed to model the critical statistics of the Floquet eigenstates of periodically driven quantum systems. In this work,…

Disordered Systems and Neural Networks · Physics 2015-06-11 Jayendra N. Bandyopadhyay , Jiangbin Gong

We consider Gaussian quantum circuits that alternate unitary gates and post-selected weak measurements, with spatial translation symmetry and time periodicity. We show analytically that such models can host different kinds of…

Quantum Physics · Physics 2024-09-17 Etienne Granet , Carolyn Zhang , Henrik Dreyer

We investigate the out-of-equilibrium dynamics of quantum information in one-dimensional systems undergoing a quantum quench using a local perspective based on the information lattice. This framework provides a scale- and space-resolved…