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We prove that a finite correlation length, i.e. exponential decay of correlations, implies an area law for the entanglement entropy of quantum states defined on a line. The entropy bound is exponential in the correlation length of the…

Quantum Physics · Physics 2015-01-08 Fernando G. S. L. Brandao , Michal Horodecki

We discuss the dephasing induced by the internal classical chaotic motion in the absence of any external environment. To this end we consider a suitable extension of fidelity for mixed states which is measurable in a Ramsey interferometry…

Quantum Physics · Physics 2007-05-23 Valentin V. Sokolov , Giuliano Benenti , Giulio Casati

Chaotic evolutions exhibit exponential sensitivity to initial conditions. This suggests that even very small perturbations resulting from weak coupling of a quantum chaotic environment to the position of a system whose state is a non-local…

Quantum Physics · Physics 2009-11-07 Robin Blume-Kohout , Wojciech H. Zurek

We study dynamics of a locally conserved energy in ergodic, local many-body quantum systems on a lattice with no additional symmetry. The resulting dynamics is well approximated by a coarse grained, classical linear functional diffusion…

Statistical Mechanics · Physics 2019-02-13 Tom Banks , Andrew Lucas

We study the ultimate limits to the decoherence rate associated with dephasing processes. Fluctuating chaotic quantum systems are shown to exhibit extreme decoherence, with a rate that scales exponentially with the particle number, thus…

Quantum Physics · Physics 2019-01-15 Zhenyu Xu , Luis Pedro García-Pintos , Aurélia Chenu , Adolfo del Campo

We investigate low-temperature dephasing in several model systems, where a quantum degree of freedom is coupled to a bath. Dephasing, defined as the decay of the coherence of inital non-equilibrium states, also influences the dynamics of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dmitri S. Golubev , Gerd Schön , Andrei D. Zaikin

Dephasing in quantum systems is typically the result of its interaction with environmental degrees of freedom. We investigate within a spin-boson model the influence of a super-Ohmic environment on the dynamics of a quantum two-state…

Quantum Physics · Physics 2023-07-12 Philipp Nacke , Florian Otterpohl , Michael Thorwart , Peter Nalbach

We investigate the influence of nearby two-level systems on the dynamics of a qubit. The intrinsic decoherence is given by a coupling of both the qubit and the two-level systems to a heat bath. Assuming weak interactions between the qubit…

Statistical Mechanics · Physics 2007-05-23 P. Nalbach

Exponential decay laws describe systems ranging from unstable nuclei to fluorescent molecules, in which the probability of jumping to a lower-energy state in any given time interval is static and history-independent. These decays, involving…

Quantum Gases · Physics 2020-06-24 Alec Cao , Cora J. Fujiwara , Roshan Sajjad , Ethan Q. Simmons , Eva Lindroth , David M. Weld

The state function entropy and its quantum thermodynamical implication for two typical dissipative systems with anomalous spectral densities are studied by investigating on their low-temperature quantum behavior. In all cases it is found…

Statistical Mechanics · Physics 2015-06-03 Chun-Yang Wang , An-Qi Zhao , Xiang-Mu Kong , Jing-Dong Bao

Open quantum-system dynamics can follow exponential decay, non-exponential relaxation, or oscillatory dynamics, depending on the system-environment coupling. We study a lattice with a boundary defect that transitions between these regimes,…

A popular model of decoherence based on the linear coupling to harmonic oscillator heat baths is analized and shown to be inappropriate in the regime where decoherence dominates over energy dissipation, called pure decoherence regime. The…

Quantum Physics · Physics 2008-01-08 Robert Alicki

Except for the universe, all quantum systems are open, and according to quantum state diffusion theory, many systems localize to wave packets in the neighborhood of phase space points. This is due to decoherence from the interaction with…

Quantum Physics · Physics 2008-11-26 Todd A. Brun , Ian C. Percival , Rüdiger Schack

We introduce the boundary effect on the ground state as an attribute of general local spin systems that restricts the correlations in the ground state. To this end, we introduce what we call a boundary effect function, which characterises…

Quantum Physics · Physics 2015-05-19 Jaeyoon Cho

One of the main methods for protecting quantum information against decoherence is to encode information in the ground subspace (or the low energy sector) of a Hamiltonian with a large energy gap which penalizes errors from environment. The…

Quantum Physics · Physics 2016-10-05 Iman Marvian

We consider the non--equilibrium dynamics of a chain of classical rotators coupled at its edges to an external reservoir at zero temperature. We find that the energy is released in a strongly discontinuous fashion, with sudden jumps…

Other Condensed Matter · Physics 2009-11-11 Maria Eleftheriou , Stefano Lepri , Roberto Livi , Francesco Piazza

We investigate the spontaneous emission of a two-level system coupled to a photonic waveguide, showing that dynamical dephasing in the photon modes profoundly alters the decay law. In the absence of dephasing, the emitter displays…

Quantum Physics · Physics 2026-01-12 Stefano Longhi

We study the scaling of entanglement in low-energy states of quantum many-body models on lattices of arbitrary dimensions. We allow for unbounded Hamiltonians such that systems with bosonic degrees of freedom are included. We show that if…

Quantum Physics · Physics 2015-09-22 Fernando G. S. L. Brandao , Marcus Cramer

We investigate the dephasing suffered by a nonrelativistic quantum particle within a conformally fluctuating spacetime geometry. Starting from a minimally coupled massive Klein-Gordon field, the low velocity limit yields an effective…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Paolo M. Bonifacio , Charles H. -T. Wang , J. Tito Mendonca , Robert Bingham

We theoretically analyze the depletion dynamics of an ensemble of cold atoms in a quasi one-dimensional optical lattice where atoms in one of the lattice sites are subject to decay. Unlike the previous studies of this problem in R.…

Quantum Physics · Physics 2019-07-17 Anna A . Bychek , Pavel S. Muraev , Andrey R. Kolovsky
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