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<p>Document new Spinach 2.12 spin-boson functionality (PR 195)</p> <p><b>New page</b></p><div>{{DISPLAYTITLE:rlx_modes.m}} __NOTOC__<br /> Bosonic mode dissipation superoperator. Builds thermalised GKSL dissipators for the amplitude damping and the pure dephasing of the bosonic modes declared in [[Spin system specification#Bosonic modes|inter.modes]], using the amplitude damping rates and the pure dephasing rates ingested by [[create.m]] and the Bose-Einstein thermal occupation numbers computed from the physical mode frequencies and the system temperature. The physical frequency of a mode is the sum of the declared carrier and the declared frequency where inter.modes.carriers is present, and the magnitude of the declared frequency otherwise.<br /> <br /> This function is called automatically by [[relaxation.m]] whenever damping or dephasing is declared for any mode, so it does not usually need to be called by the user.<br /> <br /> ==Syntax==<br /> <br /> R=rlx_modes(spin_system)<br /> <br /> ==Parameters==<br /> <br /> spin_system - Spinach spin system description object<br /> with bosonic mode information present<br /> <br /> ==Outputs==<br /> <br /> R - bosonic mode dissipation superoperator<br /> <br /> ==Notes==<br /> <br /> # The dissipators are kappa*(1+nbar)*D[a], kappa*nbar*D[c], and 2*gamma_phi*D[n], where D[x] is the GKSL dissipator of the operator x, built from ladder operators truncated to the level count of each mode.<br /> # The ''Spinach'' convention of zero temperature meaning the high-temperature limit is not applicable to bosonic modes: zero temperature here produces zero thermal occupation numbers.<br /> # Because the superoperator is a dissipator, a Liouville space formalism is required. In Hilbert space [[relaxation.m]] issues a warning and returns without the mode dissipation terms.<br /> # The amplitude damping rate is set by inter.modes.lifetimes, inter.modes.linewidths, or inter.modes.qfactors, and the pure dephasing rate is extracted from inter.modes.t2_times at the declared temperature.<br /> <br /> ==See also==<br /> [[relaxation.m]], [[create.m]], [[device.m]], [[coherent.m]], [[rlx_t1_t2.m]], [[lindbladian.m]], [[equilibrium.m]], [[Relaxation theory parameters]], [[Kernel utilities]]<br /> <br /> ''Version 2.12, authors: [[Ilya Kuprov]]''</div>

Kuprov