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We study the entanglement in a chain of harmonic oscillators driven out of equilibrium by preparing the two sides of the system at different temperatures, and subsequently joining them together. The steady state is constructed explicitly…

Statistical Mechanics · Physics 2014-12-11 Viktor Eisler , Zoltan Zimboras

The competition between unitary quantum dynamics and dissipative stochastic effects, as emerging from continuous-monitoring processes, can culminate in measurement-induced phase transitions. Here, a many-body system abruptly passes, when…

Statistical Mechanics · Physics 2025-02-04 Moritz Eissler , Igor Lesanovsky , Federico Carollo

The fermion sign problem is often viewed as a sheer inconvenience that plagues numerical studies of strongly interacting electron systems. Only recently, it has been suggested that fermion signs are fundamental for the universal behavior of…

Strongly Correlated Electrons · Physics 2017-04-12 N. Kaplis , F. Krüger , J. Zaanen

Inferring the dynamical generator of a many-body quantum system from measurement data is essential for the verification, calibration, and control of quantum processors. When the system is open, this task becomes considerably harder than in…

In this paper, we discuss the possibility of unexplored behaviours for the entanglement entropy in extended quantum systems. Namely, we study the R\'enyi entanglement entropy for the ground state of long-range Kitaev chains with slow…

Statistical Mechanics · Physics 2019-11-27 Filiberto Ares , José G. Esteve , Fernando Falceto , Zoltán Zimborás

We consider a class of either fermionic or bosonic noninteracting open quantum chains driven by dissipative interactions at the boundaries and study the interplay of coherent transport and dissipative processes, such as bulk dephasing and…

Statistical Mechanics · Physics 2017-11-17 Federico Carollo , Juan P. Garrahan , Igor Lesanovsky , Carlos Pérez-Espigares

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

Fermionic non-Gaussianity quantifies a quantum state's deviation from a classically tractable free-fermionic description, constituting a necessary resource for computational quantum advantage. Here we use fermionic antiflatness (FAF) to…

Quantum Physics · Physics 2026-02-03 Pedro R. Nicácio Falcão , Jakub Zakrzewski , Piotr Sierant

For a class of translation-invariant free-fermion systems (including those with uniform nearest neighbor hopping) on a $d$-dimensional $L \times \cdots \times L$ hypercubic lattice, we prove that, starting from an arbitrary pure initial…

Mathematical Physics · Physics 2026-02-17 Takashi Hara , Tatsuhiko Koike

We investigate the entropic consequences of the relaxation of an open two-level quantum system towards a thermalised statistical state, using a framework of quantum state diffusion with a minimal set of raising and lowering Lindblad…

Quantum Physics · Physics 2023-03-08 Jonathan Dexter , Ian J. Ford

In this work we study the behaviour of two weakly coupled quantum systems, described by a separable density operator; one of them is a single oscillator, representing a microscopic system, while the other is a set of oscillators which…

Mathematical Physics · Physics 2016-08-24 Jeferson Tomazelli , Renan Cunha

We study the effects of dissipative boundaries in many-body systems at continuous quantum transitions, when the parameters of the Hamiltonian driving the unitary dynamics are close to their critical values. As paradigmatic models, we…

Statistical Mechanics · Physics 2021-09-01 Francesco Tarantelli , Ettore Vicari

This paper is devoted to the study of behavior of open quantum systems consistently based on the Franke-Gorini-Kossakowski-Lindblad-Sudarshan (FGKLS) equation which covers evolution in situations when decoherence can be distinguished. We…

Quantum Physics · Physics 2020-07-14 A. A. Andrianov , M. V. Ioffe , E. A. Izotova , O. O. Novikov

The Schr\"odinger-Langevin (SL) equation is considered as an effective open quantum system formalism suitable for phenomenological applications involving a quantum subsystem interacting with a thermal bath. We focus on two open issues…

Quantum Physics · Physics 2016-03-17 Roland Katz , Pol Bernard Gossiaux

In this paper, we introduce a novel and general framework for the variational quantum simulation of Lindblad equations. Building on the close relationship between the unraveled Lindblad dynamics, stochastic Magnus integrators, and…

Quantum Physics · Physics 2025-09-22 Jia-Cheng Huang , Hao-En Li , Yi-Cheng Wang , Guang-Ze Zhang , Jun Li , Han-Shi Hu

The Lindblad master equation is a foundational tool for modeling the dynamics of open quantum systems. As its use has extended far beyond its original domain, the boundaries of its validity have grown opaque. In particular, the rise of new…

The Full Counting Statistics (FCS) is studied for a one-dimensional system of non-interacting fermions with and without disorder. For two unbiased $L$ site lattices connected at time $t=0$, the charge variance increases as the natural…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 G. C. Levine , M. J. Bantegui , J. A. Burg

Understanding system-bath correlations in open quantum systems is essential for various quantum information and technology applications. Derivations of most master equations (MEs) for the dynamics of open systems require approximations that…

Quantum Physics · Physics 2024-03-25 A. P. Babu , S. Alipour , A. T. Rezakhani , T. Ala-Nissila

We generalize the method of third quantization to a unified exact treatment of Redfield and Lindblad master equations for open quadratic systems of n fermions in terms of diagonalization of 4n x 4n matrix. Non-equilibrium thermal driving in…

Quantum Physics · Physics 2015-05-14 Tomaz Prosen , Bojan Zunkovic

We study the entanglement entropy of blocks of contiguous spins in non-periodic (quasi-periodic or more generally aperiodic) critical Heisenberg, XX and quantum Ising spin chains, e.g. in Fibonacci chains. For marginal and relevant…

Statistical Mechanics · Physics 2009-11-13 F. Igloi , R. Juhasz , Z. Zimboras