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Contextuality means non-existence of a joint distribution for random variables recorded under mutually incompatible conditions, subject to certain constraints imposed on how the identity of these variables may change across these…

量子物理 · 物理学 2015-02-06 Ehtibar N. Dzhafarov , Janne V. Kujala

We present an inequality that bounds the short-term memory capability of dynamical systems from below. It can be interpreted as an uncertainty relation between a measure of short-term memory and that of the size of state fluctuations…

适应与自组织系统 · 物理学 2026-05-26 Taichi Haruna , Kohei Nakajima

We study and compare the sensitivity of multiple non-Markovianity indicators for a qubit subjected to general phase-covariant noise. For each of the indicators, we derive analytical conditions to detect the dynamics as non-Markovian. We…

量子物理 · 物理学 2019-03-21 Jose Teittinen , Henri Lyyra , Boris Sokolov , Sabrina Maniscalco

An implementation of weak values is investigated in solid-state qubits. We demonstrate that a weak value can be non-classical if and only if a Leggett-Garg inequality can also be violated. Generalized weak values are described, where…

介观与纳米尺度物理 · 物理学 2008-01-16 Nathan S. Williams , Andrew N. Jordan

We study the competing effects of simultaneous Markovian and non-Markovian decoherence mechanisms acting on a single spin. We show the existence of a threshold in the relative strength of such mechanisms above which the spin dynamics…

The Leggett-Garg inequality (LGI) is a powerful tool for distinguishing between quantum and classical properties in studies of macroscopic systems. Applying the LGI to non-Hermitian systems with dissipation presents a fascinating…

量子气体 · 物理学 2024-11-06 Qinxuan Peng , Bolong Jiao , Hang Yu , Liao Sun , Haoyi Zhang , Jiaming Li , Le Luo

We describe a new and experimentally feasible protocol for performing fundamental tests of quantum mechanics with massive objects. In our approach a single two level system is used to probe the motion of a nanomechanical resonator via…

量子物理 · 物理学 2014-05-20 A. Asadian , C. Brukner , P. Rabl

We propose a test of macrorealism that exploits the contextuality of two-time correlation functions to escape the so-called "clumsiness loophole" that plagues Leggett-Garg inequalities. The non-contextuality of reduced joint probability…

量子物理 · 物理学 2023-11-15 Devashish Pandey , Xavier Oriols , Guillermo Albareda

The Leggett-Garg inequality (LGI) distinguishes nonmacrorealistic channels from macrorealistic ones by constraining the experimental outcomes of the underlying system. In this work, we propose a class of channels which, initially, cannot…

We show that in some cases the coherent state can have a larger violation of the Leggett-Garg inequality (LGI) than the cat state by numerical calculations. To achieve this result, we consider the LGI of the cavity mode weakly coupled to a…

量子物理 · 物理学 2021-07-13 Hiroo Azuma , Masashi Ban

Non-Markovian processes may arise in physics due to memory effects of environmental degrees of freedom. For quantum non-Markovianity, it is an ongoing debate to clarify whether such memory effects have a verifiable quantum origin, or…

量子物理 · 物理学 2024-04-18 Charlotte Bäcker , Konstantin Beyer , Walter T. Strunz

In two-party, two-input and two-output measurement scenario only relevant Bell's inequality is the Clauser-Horne-Shimony-Holt (CHSH) form. They also provide the necessary and sufficient conditions for local realism. Any other form, such as,…

量子物理 · 物理学 2019-12-24 Swati Kumari , A. K. Pan

Quantum memory effects can be induced even when the degrees of freedom associated to the environment are not affected at all during the system evolution. In this paper, based on a bipartite representation of the system-environment dynamics,…

量子物理 · 物理学 2022-01-03 Adrián A. Budini

We study the effects of symmetry breaking on non-Markovian dynamics in various system-bath arrangements. It is shown that by breaking certain symmetries features signaling non-Markovian time evolution disappear within a finite time t_{g}.…

量子物理 · 物理学 2015-06-12 Nicholas Chancellor , Christoph Petri , Stephan Haas

We analyse large deviations of time-averaged quantities in stochastic processes with long-range memory, where the dynamics at time t depends itself on the value q_t of the time-averaged quantity. First we consider the elephant random walk…

统计力学 · 物理学 2020-08-05 Robert L. Jack , Rosemary J. Harris

The definition of memory in operational approaches to quantum non-Markovianity depends on the statistical properties of different sets of outcomes related to successive measurement processes performed over the system of interest. Using…

量子物理 · 物理学 2021-01-26 Mariano Bonifacio , Adrián A. Budini

We perform a detailed analysis of the nonclassical properties of a damped two-level system. We compute and compare three different criteria of quantumness, the $l_1$-norm of coherence, the Leggett- Garg inequality and a quantum witness…

量子物理 · 物理学 2018-05-31 Alexander Friedenberger , Eric Lutz

Leggett-Garg inequalities (LGI) are constrains on certain combinations of temporal correlations obtained by measuring one and the same system at two different instants of time. The usual derivations of LGI assume \emph {macroscopic realism…

量子物理 · 物理学 2014-06-24 Shiladitya Mal , Manik Banik , Sujit K Choudhary

Employing a recently proposed measure for quantum non-Markovianity, we carry out a systematic study of the size of memory effects in the spin-boson model for a large region of temperature and frequency cutoff parameters. The dynamics of the…

量子物理 · 物理学 2012-07-26 Govinda Clos , Heinz-Peter Breuer

We introduce a generalized Langevin model system for different non-Markovian effects in the well and barrier regions of a potential, and use it to numerically study the dependence of the barrier-crossing time. In the appropriate limits, our…

化学物理 · 物理学 2022-07-12 Florian N. Brünig , Roland R. Netz , Julian Kappler