Shortcuts to adiabaticity in quantum many-body systems: a quantum dynamical microscope

Adolfo del Campo

拓矢 鳩村, Takuya Hatomura

Victor Mukherjee, Simone Montangero, Rosario Fazio

We study the environmentally assisted local transitionless dynamics in closed spin systems driven through quantum critical points. In general the shortcut to adaiabaticity (STA) in quantum critical systems requires highly nonlocal control Hamiltonians. In this work we develop an approach to achieve local shortcuts to adiabaticity (LSTA) in spin chains, using local control fields which scale polynomially with the system size, following universal critical exponents. We relate the control fields to reduced fidelity susceptibility and use the transverse Ising model in one dimension to exemplify our generic results. We also extend our analysis to achieve LSTA in central spin models.

Hamed Saberi, Tomáš Opatrný, Klaus Mølmer +1 more

The nonadiabatic dynamics of a many-body system driven through a quantum critical point can be controlled using counterdiabatic driving, where the formation of excitations is suppressed by assisting the dynamics with auxiliary multiple-body nonlocal interactions. We propose an alternative scheme which circumvents practical challenges to realize shortcuts to adiabaticity in mesoscopic systems by tailoring the functional form of the auxiliary counterdiabatic interactions. A driving scheme resorting in short-range few-body interactions is shown to generate an effectively adiabatic dynamics.

Tommaso Caneva

Rigo Tambang Apriansyah, Iwan Setiawan, Irwan Koto

This research examines the fast forwad and shortcut to adiabaticity (STA) method in accelerating adiabatic dynamics applied to two level systems. The fast forwad and shortcut to adiabaticity (STA) method is a strategy developed to accelerate the evolution of quantum systems from the initial state to the final state in a short time. In this method, the acceleration scheme is built by modifying the Hamiltonian through the addition of additional terms to the initial Hamiltonian as regularization terms so that the time-dependent Schrodinger equation is still fulfilled. The formulation of the problem in this study is how to find the regularization term and additional Hamiltonian of the fast forwad and STA methods. The methodology used to obtain regularization terms with adiabatic magnetic field and analysis of wave function solutions and additional Hamiltonians. The results of the study are regularization terms and additional Hamiltonians to shorten the dynamics of the system adiabatically. In the fast forwad method to obtain the regularization term, one energy information of the system is required, while in the STA method all energy information of the system is required