Parrondo-like behavior in continuous-time random walks with memory

Abstract

The continuous-time random walk (CTRW) formalism can be adapted to encompass stochastic processes with memory. In this paper we will show how the random combination of two different unbiased CTRWs can give rise to a process with clear drift, if one of them is a CTRW with memory. If one identifies the other one as noise, the effect can be thought of as a kind of stochastic resonance. The ultimate origin of this phenomenon is the same as that of the Parrondo paradox in game theory.

Observer-dependent entanglement

“…For example, Dirac fields [4,69,74,75,76,77,78], the electromagnetic field [79] and charged bosonic fields have been studied [66]. The results for fermionic fields show that entanglement is degraded in non-inertial frames however, the entanglement remains finite in the infinite acceleration limit [4,69,77,80]. Interestingly, for fermions the entanglement in the infinite acceleration limit does not violate Bell's inequalities [78].…”

Measurement-induced-nonlocality via the Unruh effect

“…Usually, the Unruh monochromatic mode |0 Ω U , from the non-inertial observers' perspec-tive, can be expressed as [9,10] |0…”

“…However, only one of these ordering gives physical results, as done in ref. [10], we adopt the physical ordering in our paper.…”

“…The investigation of relativistic quantum information not only supplies the gap of interdiscipline refer to quantum information and relativity theory, but also has a positive promotion on the development of them. As a result of that, this domain has been paid much attention in the last decade [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Among them, most papers have focused on quantum resource, e. g., quantum entanglement [1-6, 9, 15] and discord [11,12], because the quantum resource plays an very important role in the quantum information tasks such as teleportation [16] and computation [17,18], and studying it in a relativistic setting is very closely related to the implementation of quantum tasks with observers in arbitrary relative motion.…”

Deformations of the spin currents by topological screw dislocation and cosmic dispiration

“…Topological defects are predicted in most of the unified theories of fundamental force. In last few decades, this subject has drawn special attention in several areas of physics ranging from condensed matter physics to cosmology [1,2,3,4,5,9,10,11,12,15,14,13,16,17,18,19,20,21,22,42,6,27,7,8,28,29,30,31,32,33,35,36,34,37,38,39,41,40,23,24,25,26]. The topological defects could be formed at phase transitions in the early history of the universe, such as the cosmic string [30,31,32,33], the domain wall [33,35,36,…”