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Adiabatic quantum computing is a universal model for quantum computing whose implementation using a gate-based quantum computer requires depths that are unreachable in the early fault-tolerant era. To mitigate the limitations of near-term…

Quantum Physics · Physics 2024-10-18 Ioannis Kolotouros , Ioannis Petrongonas , Miloš Prokop , Petros Wallden

We study adiabatic pumping through a two-level quantum dot with spin-orbit coupling. Using a diagrammatic real-time approach, we calculate both the pumped charge and spin for a periodic variation of the dot's energy levels in the limit of…

Mesoscale and Nanoscale Physics · Physics 2013-02-11 Stephan Rojek , Jürgen König , Alexander Shnirman

We present a measurement scheme for observing the Berry phase in a flux assisted Cooper pair pump - the Cooper pair sluice. In contrast to the recent experiments, in which the sluice was employed to generate accurate current through a…

Stimulated Raman Adiabatic Passage, a very efficient technique for manipulating a quantum system based on the adiabatic theorem, is analyzed in the case where the manipulated physical system is interacting with a spin bath. Exploitation of…

Quantum Physics · Physics 2023-11-21 Benedetto Militello , Anna Napoli

Following the method of Victor V. Kozlov et al.[PhysRevA. 74. 063829],we inspect the coherence induced by incoherent pump and spontaneous decay process in $\Lambda$ type three-level atomic system with degenerated lower duplicate levels. The…

Quantum Physics · Physics 2009-11-13 Bao-Quan Ou , Lin-Mei Liang , Cheng-Zu Li

We control the direction and magnitude of thermal radiation, between two bodies at equal temperature (in thermal equilibrium), by invoking the concept of adiabatic pumping. Specifically, within a resonant near-field electromagnetic heat…

In two-dimensional Dirac semimetals, Cooper pairing instability occurs only when the attractive interaction strength $|u|$ is larger than some critical value $|u_{c}|$ because the density of states vanishes at Dirac points. Disorders…

Superconductivity · Physics 2017-02-17 Jing Wang , Peng-Lu Zhao , Jing-Rong Wang , Guo-Zhu Liu

Understanding NP-complete problems is a central topic in computer science. This is why adiabatic quantum optimization has attracted so much attention, as it provided a new approach to tackle NP-complete problems using a quantum computer.…

Quantum Physics · Physics 2010-12-13 Boris Altshuler , Hari Krovi , Jeremie Roland

Random fluctuations caused by environmental noise can lead to decoherence in quantum systems. Exploring and controlling such dissipative processes is both fundamentally intriguing and essential for harnessing quantum systems to gain…

The geometric (Berry) phase of a two-level system in a dissipative environment is analyzed by using the second-quantized formulation, which provides a unified and gauge-invariant treatment of adiabatic and nonadiabatic phases and is thus…

Quantum Physics · Physics 2009-05-09 Kazuo Fujikawa , Ming-Guang Hu

Perturbation theory with respect to the kinetic energy of the heavy component of a two-component quantum system is introduced. An effective Hamiltonian that is accurate to second order in the inverse heavy mass is derived. It contains a new…

Quantum Physics · Physics 2024-06-21 Ryan Requist

We consider quantum statistics of charge transmitted through a mesoscopic device in the adiabatic pumping process. A general formula for the distribution function of the transmitted charge in terms of the time-dependent S-matrix is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Anton Andreev , Alex Kamenev

We study the effect of a thermal environment on adiabatic quantum computation using the Bloch-Redfield formalism. We show that in certain cases the environment can enhance the performance in two different ways: (i) by introducing a time…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. H. S. Amin , Peter J. Love , C. J. S. Truncik

Quantum control could be implemented by varying the system Hamiltonian. According to adiabatic theorem, a slowly changing Hamiltonian can approximately keep the system at the ground state during the evolution if the initial state is a…

Mathematical Physics · Physics 2015-12-21 Yu Pan , Zibo Miao , Nina H. Amini , Valery Ugrinovskii , Matthew R. James

General properties of the tunnelling-charging Hamiltonian of a Cooper pair pump are examined with emphasis on the symmetries of the model. An efficient block-diagonalisation scheme and a compatible Fourier expansion of the eigenstates is…

Superconductivity · Physics 2009-10-31 M. Aunola

A generalization of the Aubry-Andr\'e-Harper (AAH) model is developed, containing a tunable phase shift between on-site and off-diagonal modulations. A localization transition can be induced by varying just this phase, keeping all other…

Mesoscale and Nanoscale Physics · Physics 2015-01-26 Fangli Liu , Somnath Ghosh , Y. D. Chong

Fast nonadiabatic control protocols known as shortcuts to adiabaticity have found a plethora of applications, but their use has been severely limited to speeding up the dynamics of isolated quantum systems. We introduce shortcuts for open…

Quantum Physics · Physics 2020-08-06 L. Dupays , I. L. Egusquiza , A. del Campo , A. Chenu

We demonstrate non-adiabatic charge pumping utilizing a sequence of coherent oscillations between a superconducting island and two reservoirs. Our method, based on pulsed quantum state manipulations, allows to speedup charge pumping to a…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 F. Hoehne , Yu. A. Pashkin , O. V. Astafiev , M. Möttönen , J. P. Pekola , J. S. Tsai

In the adiabatic and weak-modulation quantum pump, net electron flow is driven from one reservoir to the other by absorbing or emitting an energy quantum $\hbar \omega $ from or to the reservoirs. In our approach, high-order dependence of…

Mesoscale and Nanoscale Physics · Physics 2009-11-09 Rui Zhu

Motivated by recent experiments on quantum mechanical charge pumping in a Cooper pair sluice, we present a measurement scheme for observing shifts of transition frequencies in two-level quantum systems induced by broadband environmental…

Mesoscale and Nanoscale Physics · Physics 2011-11-11 V. Gramich , P. Solinas , M. Möttönen , J. P. Pekola , J. Ankerhold