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We study entanglement dynamics in hybrid $\mathbb{Z}_2$-symmetric quantum automaton circuits subject to local composite measurements. We show that there exists an entanglement phase transition from a volume law phase to a critical phase by…

Quantum Physics · Physics 2022-03-04 Yiqiu Han , Xiao Chen

We study the quantum phase transition of the Dicke model in the classical oscillator limit, where it occurs already for finite spin length. In contrast to the classical spin limit, for which spin-oscillator entanglement diverges at the…

Quantum Physics · Physics 2012-05-08 L. Bakemeier , A. Alvermann , H. Fehske

Quantum entanglement is a key ingredient for quantum information processing with capabilities beyond that of classical computation. We study the generation and role of entanglement in the dynamics of spin-1/2 models, both for the design of…

Quantum Physics · Physics 2024-06-11 Anupam Mitra

The quantum entanglement $E$ of a bipartite quantum Ising chain is compared with the mutual information $I$ between the two parts after a local measurement of the classical spin configuration. As the model is conformally invariant, the…

Statistical Mechanics · Physics 2015-06-11 Jaegon Um , Hyunggyu Park , Haye Hinrichsen

We study Schr\"odinger operators on an infinite quantum graph of a chain form which consists of identical rings connected at the touching points by $\delta$-couplings with a parameter $\alpha\in\R$. If the graph is "straight", i.e. periodic…

Mathematical Physics · Physics 2019-12-10 Pierre Duclos , Pavel Exner , Ondrej Turek

The ground state of a quantum spin chain is a natural playground for investigating correlations. Nevertheless, not all correlations are genuinely of quantum nature. Here we review the recent progress to quantify the 'quantumness' of the…

Quantum Physics · Physics 2015-03-20 Marcelo S. Sarandy , Thiago R. de Oliveira , Luigi Amico

The transition between many-body localized states and the delocalized thermal states is an eigen-state phase transition at finite energy density outside the scope of conventional quantum statistical mechanics. In this work we investigate…

Strongly Correlated Electrons · Physics 2019-08-13 Wei Zhang , Ziqiang Wang

We consider a two-chain, spin-1/2 antiferromagnetic Heisenberg spin ladder in an external magnetic field H. The spin ladder is known to undergo second order quantum phase transitions (QPTs) at two critical values, Hc1 and Hc2, of the…

Quantum Physics · Physics 2009-11-13 Amit Tribedi , Indrani Bose

We study the spin-$1/2$ two-dimensional Shastry-Sutherland spin model by exact diagonalization of clusters with periodic boundary conditions. We develop an improved level spectroscopic technique using energy gaps between states with…

Strongly Correlated Electrons · Physics 2022-07-13 Ling Wang , Yalei Zhang , Anders W. Sandvik

By means of the density matrix renormalization group technique, the scaling relation of the fidelity susceptibility proposed recently is verified for the spin-one XXZ spin chain with an on-site anisotropic term. Moreover, from the results…

Quantum Physics · Physics 2008-01-14 Yu-Chin Tzeng , Min-Fong Yang

By means of free fermionic techniques we study the time evolution of the entanglement entropy, S(t), of a block of spins in the random transverse-field Ising chain after a sudden change of the parameters of the Hamiltonian. We consider…

Statistical Mechanics · Physics 2012-03-13 Ferenc Igloi , Zsolt Szatmari , Yu-Cheng Lin

We identify the leading corrections to Finite-Size Scaling relations for the correlation length and twist order parameter of three mixed-spin quantum spin chains for the critical feature that develops at, $\theta=\pi$, corresponding to a…

Strongly Correlated Electrons · Physics 2007-05-23 R. Bischof , P. R. Crompton

We study the entanglement Hamiltonian for finite intervals in infinite quantum chains for two different free-particle systems: coupled harmonic oscillators and fermionic hopping models with dimerization. Working in the ground state, the…

Statistical Mechanics · Physics 2020-10-20 Viktor Eisler , Giuseppe Di Giulio , Erik Tonni , Ingo Peschel

We calculate exactly the probability to find the ground state of the XY chain in a given spin configuration in the transverse $\sigma^z$-basis. By determining finite-volume corrections to the probabilities for a wide variety of…

Statistical Mechanics · Physics 2020-09-03 Filiberto Ares , M. A. Rajabpour , Jacopo Viti

Under an appropriate symmetric bulk bipartition in a one-dimensional symmetry protected topological phase with the Affleck-Kennedy-Lieb-Tasaki matrix product state wave function for the odd integer spin chains, a bulk critical entanglement…

Strongly Correlated Electrons · Physics 2018-10-31 Zi-Qi Wang , Guo-Yi Zhu , Guang-Ming Zhang

We investigate the hypercube networks that their nodes are considered as quantum harmonic oscillators. The entanglement of the ground state can be used to quantify the amount of information each part of a network shares with the rest of the…

Quantum Physics · Physics 2014-11-04 M. A. Jafarizadeh , F. Eghbalifam , S. Nami

How does the classical phase space structure for a composite system relate to the entanglement characteristics of the corresponding quantum system? We demonstrate how the entanglement in nonlinear bipartite systems can be associated with a…

Quantum Physics · Physics 2009-11-10 Andrew P. Hines , G. J. Milburn , Ross H. McKenzie

Operator scrambling is a crucial ingredient of quantum chaos. Specifically, in the quantum chaotic system, a simple operator can become increasingly complicated under unitary time evolution. This can be diagnosed by various measures such as…

Strongly Correlated Electrons · Physics 2018-04-25 Xiao Chen , Tianci Zhou

We investigate the entanglement properties of the Quantum Six-Vertex Model on a cylinder, focusing on the Shannon-Renyi entropy in the limit of Renyi order $n = \infty$. This entropy, calculated from the ground state amplitudes of the…

Quantum Physics · Physics 2026-03-19 Sunny Pradhan , Jesús Cobos , Enrique Rico , Germán Sierra

Electronic quantum entanglement between the central chain and the two electrodes in an infinite one-dimensional two-probe device system is studied. The entanglement entropy is calculated employing the nonequilibrium Green's function method…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Yao-Sheng Li , Wen-Long You , Xue-Feng Wang
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