## Quantum Hamiltonian daemons: Unitary analogs of combustion engines

#### by James Anglin

##### at Condensed Matter Theory Seminar

Wed, 31 Jan 2018, 13:30

Physics building (#54) room 207

#### Abstract

Hamiltonian daemons have recently been defined classically as small closed Hamiltonian systems which can exhibit secular energy transfer from high frequency to low frequency degrees of freedom steady downconversion analogous to the steady transfer of energy in a combustion engine from the high terahertz frequencies of molecular excitations to the low kilohertz frequencies of piston motion L Gilz E P Thesing and J R Anglin Phys Rev E 94 042127 2016 Classical daemons achieve downconversion within a small closed system by exploiting nonlinear resonances the adiabatic theorem permits their operation but imposes nontrivial limitations on their efficiency Here we investigate a simple example of a quantum mechanical daemon In the correspondence regime it obeys similar efficiency limits to its classical counterparts but in the strongly quantum mechanical regime the daemon operates in an entirely different manner It maintains an engine like behavior in a distinctly quantum mechanical form: a weight is lifted at a steady average speed through a long sequence of quantum jumps in momentum at each of which a quantum of fuel is consumed The quantum daemon can cease downconversion at any time through nonadiabatic Landau Zener transitions and continuing operation of the quantum daemon is associated with steadily growing entanglement between fast and slow degrees of freedom

Created on 09-01-2018 by Bar Lev, Yevgeny (ybarlev)

Updaded on 09-01-2018 by Bar Lev, Yevgeny (ybarlev)