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We consider entanglement in the ground state of the XY spin model on infinite chain. We use von Neumann entropy of a sub-system as a measure of entanglement. The entropy of a large block of neighboring spins approaches a constant as the…

量子物理 · 物理学 2007-05-23 A. R. Its , B. -Q. Jin , V. E. Korepin

Entanglement in the ground state of the XY model on the infinite chain can be measured by the von Neumann entropy of a block of neighboring spins. We study a double scaling limit: the size of the block is much larger then 1 but much smaller…

量子物理 · 物理学 2007-10-04 F. Franchini , A. R. Its , B. -Q. Jin , V. E. Korepin

We consider the ground state of the XY model on an infinite chain at zero temperature. Following Bennett, Bernstein, Popescu, and Schumacher we use entropy of a sub-system as a measure of entanglement. Vidal, Latorre, Rico and Kitaev…

量子物理 · 物理学 2009-11-10 A. R. Its , B. -Q. Jin , V. E. Korepin

Entanglement in the ground state of the XY model on the infinite chain can be measured by the von Neumann entropy of a block of neighboring spins. We study a double scaling limit: the size of the block is much larger then 1 but much smaller…

量子物理 · 物理学 2012-01-31 F. Franchini , A. R. Its , B. -Q. Jin , V. E. Korepin

We study the R\'enyi entropy and subsystem distances on one interval for the finite size and thermal states in the critical XY chains, focusing on the critical Ising chain and XX chain with zero transverse field. We construct numerically…

统计力学 · 物理学 2020-09-01 Raúl Arias , Jiaju Zhang

The dynamics of a central spin-1/2 in presence of a local magnetic field and a bath of N spin-1/2 particles is studied in the thermodynamic limit. The interaction between the spins is Heisenberg XY type and the bath is considered to be a…

量子物理 · 物理学 2008-11-26 J. Rodríguez Garzón , R. M. Gutiérrez

We study the von Neumann entropy of the partial trace of a system of two two-level atoms (qubits) in a dispersive cavity where the atoms are interacting collectively with a single mode electromagnetic field in the cavity. We make a contrast…

量子物理 · 物理学 2021-10-01 Ram Narayan Deb

The zero-entropy-density conjecture states that the entropy density, defined as the limit of S(N)/N at infinity, vanishes for all translation-invariant pure states on the spin chain. Or equivalently, S(N), the von Neumann entropy of such a…

数学物理 · 物理学 2009-11-11 S. Farkas , Z. Zimboras

Treating Coulomb scattering of two free electrons in a stationary approach, we explore the momentum and spin entanglement created by the interaction. We show that a particular discretisation provides an estimate of the von Neumann entropy…

量子物理 · 物理学 2018-12-14 Peter Schattschneider , Stefan Löffler , Herbert Gollisch , Roland Feder

We consider a quantum spin system consisting of a finite subsystem connected to infinite reservoirs at different temperatures. In this setup we define nonequilibrium steady states and prove that the rate of entropy production in such states…

数学物理 · 物理学 2009-10-31 David Ruelle

Within the rigorous axiomatic framework for the description of quantum mechanical systems with a large number of degrees of freedom, we construct the so-called nonequilibrium steady state for the quasifree fermionic system corresponding to…

数学物理 · 物理学 2020-12-21 Walter H. Aschbacher

In this contribution we prove that the entropy of an N-body isolated system can not decrease and the entropy production should be non-negative provided the system possesses an equilibrium state. We define the entropy as a functional of the…

统计力学 · 物理学 2007-05-23 A. Perez-Madrid

We consider the generic model of a finite-size quantum electron system connected to two (temperature and particle) reservoirs. The quantum open system is driven out of equilibrium by the presence of both a temperature and a chemical…

统计力学 · 物理学 2017-04-04 H. Ness

By means of the time-dependent density matrix renormalization group algorithm we study the zero-temperature dynamics of the Von Neumann entropy of a block of spins in a Heisenberg chain after a sudden quench in the anisotropy parameter. In…

介观与纳米尺度物理 · 物理学 2011-02-16 G. De Chiara , S. Montangero , P. Calabrese , R. Fazio

For the general class of quasifree fermionic right mover/left mover systems over the infinitely extended two-sided discrete line introduced in [8] within the algebraic framework of quantum statistical mechanics, we study the von Neumann…

数学物理 · 物理学 2025-05-27 Walter H. Aschbacher

The non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix…

统计力学 · 物理学 2009-11-13 Maurizio Fagotti , Pasquale Calabrese

The zero-temperature XX chain is studied with emphasis on the properties of a block of $L$ spins inside the chain. We investigate the quantum fluctuations resulting from the entanglement of the block with the rest of the chain using…

统计力学 · 物理学 2009-11-11 V. Eisler , O. Legeza , Z. Racz

Consider a discrete-time quantum walk on the $N$-cycle governed by the following condition: at every time step of the walk, the option persists, with probability $p$, of exercising a projective measurement on the coin degree of freedom. For…

量子物理 · 物理学 2010-11-16 Chaobin Liu , Nelson Petulante

We consider the one-dimensional XY quantum spin chain in a transverse magnetic field. We are interested in the Renyi entropy of a block of L neighboring spins at zero temperature on an infinite lattice. The Renyi entropy is essentially the…

量子物理 · 物理学 2010-02-16 F. Franchini , A. R. Its , V. E. Korepin

We consider the ground state of the XX chain that is constrained to carry a current of energy. The von Neumann entropy of a block of $L$ neighboring spins, describing entanglement of the block with the rest of the chain, is computed. Recent…

量子物理 · 物理学 2007-05-23 V. Eisler , Z. Zimboras
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