Quantum Propagator Derivation for the Ring of Four Harmonically Coupled Oscillators
نویسندگان
چکیده
منابع مشابه
On the derivation of Fourier’s law for coupled anharmonic oscillators
We study the Hamiltonian system made of weakly coupled anharmonic oscillators arranged on a three dimensional lattice Z2N × Z2, and subjected to a stochastic forcing mimicking heat baths of temperatures T1 and T2 on the hyperplanes at 0 and N . We introduce a truncation of the Hopf equations describing the stationary state of the system which leads to a nonlinear equation for the two-point stat...
متن کاملDynamics of four coupled phase-only oscillators
We study the dynamics of a system of four coupled phase-only oscillators. This system is analyzed using phase difference variables in a phase space that has the topology of a three-dimensional torus. The system is shown to exhibit numerous phase-locked motions. The qualitative dynamics are shown to depend upon a parameter representing coupling strength. This work has application to MEMS artific...
متن کاملSynchronized States Observed in Coupled Four Oscillators
Systems of coupled oscillators are widely used as models for biological rhythmic oscillations such as human circadian rhythms[1, 2], finger movements, animal locomotion[3], swarms of fireflies that flash in synchrony, synchronous firing of cardiac pacemaker cells[5, 6], and so on. Using these coupled oscillator models, many investigators have studied the mechanism of generation of synchronous o...
متن کاملExchange of Quantum States between Coupled Oscillators
Exchange of quantum states between two interacting harmonic oscilla-tor along their evolution time is discussed. It is analyzed the conditions for such exchange starting from a generic initial state and demonstrating that the effect occurs exactly only for the particular states C0 |0 > +CN |N >, which includes the interesting qubits components |0, |1. It is also determined the relation between ...
متن کاملCollective Behavior of Coupled Quantum Mechanical Oscillators
A simple model of coupled oscillators is investigated from the perspective of quantum mechanics. The classical model of two oscillators connected by a common platform can be easily solved analytically, but the quantum system requires a numerical approach. We assume that both the oscillators and the platform are quantum objects in their respective ground states at start and they evolve in time a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Jurnal Penelitian Fisika dan Aplikasinya (JPFA)
سال: 2019
ISSN: 2477-1775,2087-9946
DOI: 10.26740/jpfa.v9n2.p92-104