2007/02/27 by M. Bonitz, M. Bönitz, Karsten Balzer +3 · 28 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Center (category theory) #Center of mass (relativistic) #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Energy–momentum relation #Harmonic #Mode (computer interface) #Momentum (technical analysis) #Non-equilibrium thermodynamics #Nonlinear system #Oscillation (cell signaling) #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Simple (philosophy) #Simple harmonic motion #Zero (linguistics) #Zero mode #cond-mat.stat-mech
paper · pdf · open access · doi:10.1103/physrevb.76.045341
published in Physical Review B 76(4) (American Physical Society)
arxiv created 2007/02/27 · openalex publication_date 2007/07/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The center-of-mass (c.m.) oscillation of a many-body system in a harmonic trap is known to be independent of the interparticle interaction. However, this is not necessarily the case if the interactions are treated approximately. Here, we prove a simple general criterion for preservation of the c.m. mode: the approximation has to preserve density and momentum. The result equally applies to zero and finite temperatures, as well as to nonequilibrium situations, and to the linear and nonlinear response regimes.