We experimentally perform the simulation of open quantum dynamics in single-qudit systems. Using a spatial light modulator as a dissipative optical device, we implement dissipative-dynamical maps onto qudits encoded in the transverse momentum of spontaneous parametric down-converted photon pairs. We show a well-controlled technique to prepare entangled qudits states as well as to implement diss...

We discuss the problem of well-posedness of the Euler-Poisson system arising, for example, in the mathematical theory of semi-conductors, models of plasma and gaseous stars in astrophysics. We introduce the concept of dissipative weak solution satisfying, in addition to the standard system of integral identities replacing the original system of partial differential equations, the balance of tot...

Sufficient conditions under which a class of nonlinear discrete-time systems which are non-affine in the control input and the states can be rendered locally dissipative are derived. Two methodologies in order to render nonlinear single-input single-output discrete-time systems locally dissipative are given. Dissipativity is seen as a “perturbation” of the storage energy invariance or the feedb...

We study both dissipative and nondissipative quantum transport in discrete Brownian rectifiers being driven by nonthermal noise that is unbiased on average. In the absence of dissipation the current is always zero and the ballistic diffusion changes into normal diffusion. The dissipative quantum dynamics exhibits current (with distinctive reversals) as a result of the cooperative interplay betw...

We present a novel generic framework to approximate the nonequilibrium steady states of dissipative quantum many-body systems. It is based on the variational minimization of a suitable norm of the quantum master equation describing the dynamics. We show how to apply this approach to different classes of variational quantum states and demonstrate its successful application to a dissipative exten...

The angular cross correlation function is investigated for fluctuating cross sections in dissipative heavy ion colhslons. We consider the dissipative colhslon in the framework of formation and decay of the intermediate dlnuclear system while the elastic scattering phase shifts are given in terms of the deflection functmn q~ and its first derlvat~ve ~, both taken at the grazing angular momentum....

at present paper, we establish the existence of pullback $mathcal{d}$-attractor for the process associated with non-autonomous partly dissipative reaction-diffusion equation in $l^2(mathbb{r}^n)times l^2(mathbb{r}^n)$. in order to do this, by energy equation method we show that the process, which possesses a pullback $mathcal{d}$-absorbing set, is pullback $widehat{d}_0$-asymptotically compact.

Recently there is renewed interest in dissipative hydrodynamical models [1, 2, 3, 4, 5] prompted by the success of perfect hydrodynamics in describing RHIC data [6] and by recent calculations of transport coefficients of strongly interacting quark-gluon system using the AdS/CFT correspondence [7]. The question is whether dissipative hydrodynamics (d-hydrodynamics) is really needed and how it sh...