Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields
Sign Up to like & getrecommendations! Published in 2020 at "Annals of Physics"
DOI: 10.1016/j.aop.2020.168180
Abstract: The integrals of the motion associated with conformal Killing vectors of a curved space-time with an additional electromagnetic background are studied for massive particles. They involve a new term which might be non-local. The difficulty… read more here.
Keywords: integrals motion; motion waves; symmetries integrals; waves external ... See more keywords
Dimensionality and integrals of motion of the Trappist-1 planetary system
Sign Up to like & getrecommendations! Published in 2018 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/sty959
Abstract: The number of isolating integrals of motion of the Trappist-1 system - a late M-dwarf orbited by seven Earth-sized planets - was determined numerically, using an adapted version of the correlation dimension method. It was… read more here.
Keywords: system; motion trappist; trappist planetary; dimensionality integrals ... See more keywords
Finding local integrals of motion in quantum lattice models in the thermodynamic limit
Sign Up to like & getrecommendations! Published in 2025 at "Physical Review B"
DOI: 10.1103/brst-wp36
Abstract: Local integrals of motion (LIOMs) play a key role in understanding the long-time properties of closed macroscopic systems. They were found for selected integrable systems via complex analytical calculations. The existence of LIOMs and their… read more here.
Keywords: integrals motion; thermodynamic limit; local integrals; lattice models ... See more keywords
Integrals of motion as slow modes in dissipative many-body operator dynamics
Sign Up to like & getrecommendations! Published in 2025 at "Physical Review B"
DOI: 10.1103/d9b4-wlv6
Abstract: We consider Lindbladian operator dynamics in many-body quantum systems with one or more integrals of motion (IOM), subject to weak local dissipation. We demonstrate that IOMs with small support become slow modes of these dynamics,… read more here.
Keywords: integrals motion; slow modes; many body; operator dynamics ... See more keywords
Comparing many-body localization lengths via nonperturbative construction of local integrals of motion
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.100.214203
Abstract: Many-body localization (MBL), characterized by the absence of thermalization and the violation of conventional thermodynamics, has elicited much interest both as a fundamental physical phenomenon and for practical applications in quantum information. A phenomenological model,… read more here.
Keywords: localization lengths; many body; local integrals; integrals motion ... See more keywords
Material surfaces in stochastic flows: Integrals of motion and intermittency.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.107.l023101
Abstract: We consider the line, surface, and volume elements of fluid in stationary isotropic incompressible stochastic flow in d-dimensional space and investigate the long-time evolution of their statistic properties. We report the discovery of a family… read more here.
Keywords: surfaces stochastic; motion; stochastic flows; material surfaces ... See more keywords
Determining the number of integrals of motion by an adapted correlation dimension method.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.032222
Abstract: An adapted correlation dimension algorithm is used to numerically determine the number of integrals of motion in a variety of conservative classical systems. The method is demonstrated on three sample systems that display various degrees… read more here.
Keywords: adapted correlation; correlation dimension; integrals motion; number integrals ... See more keywords