TY - JOUR
T1 - New Classical Integrable Systems from Generalized TTA¯ -Deformations
AU - Doyon, Benjamin
AU - Huebner, Friedrich
AU - Yoshimura, Takato
N1 - Publisher Copyright:
© 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
PY - 2024/6/21
Y1 - 2024/6/21
N2 - We introduce and study a novel class of classical integrable many-body systems obtained by generalized TT¯ deformations of free particles. Deformation terms are bilinears in densities and currents for the continuum of charges counting asymptotic particles of different momenta. In these models, which we dub "semiclassical Bethe systems"for their link with the dynamics of Bethe ansatz wave packets, many-body scattering processes are factorized, and two-body scattering shifts can be set to an almost arbitrary function of momenta. The dynamics is local but inherently different from that of known classical integrable systems. At short scales, the geometry of the deformation is dynamically resolved: either particles are slowed down (more space available), or accelerated via a novel classical particle-pair creation and annihilation process (less space available). The thermodynamics both at finite and infinite volumes is described by the equations of (or akin to) the thermodynamic Bethe ansatz, and at large scales generalized hydrodynamics emerge.
AB - We introduce and study a novel class of classical integrable many-body systems obtained by generalized TT¯ deformations of free particles. Deformation terms are bilinears in densities and currents for the continuum of charges counting asymptotic particles of different momenta. In these models, which we dub "semiclassical Bethe systems"for their link with the dynamics of Bethe ansatz wave packets, many-body scattering processes are factorized, and two-body scattering shifts can be set to an almost arbitrary function of momenta. The dynamics is local but inherently different from that of known classical integrable systems. At short scales, the geometry of the deformation is dynamically resolved: either particles are slowed down (more space available), or accelerated via a novel classical particle-pair creation and annihilation process (less space available). The thermodynamics both at finite and infinite volumes is described by the equations of (or akin to) the thermodynamic Bethe ansatz, and at large scales generalized hydrodynamics emerge.
UR - http://www.scopus.com/inward/record.url?scp=85196375354&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.132.251602
DO - 10.1103/PhysRevLett.132.251602
M3 - Article
C2 - 38996253
AN - SCOPUS:85196375354
SN - 0031-9007
VL - 132
JO - Physical Review Letters
JF - Physical Review Letters
IS - 25
M1 - 251602
ER -