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An ever broader range of physical platforms provides the possibility to study and engineer quantum dynamics under continuous measurements. In many experimental arrangements the system of interest is monitored by means of an ancillary…

Quantum Physics · Physics 2015-10-19 Ondřej Černotík , Denis V. Vasilyev , Klemens Hammerer

Energy is often partitioned into heat and work by two independent paths corresponding to the change in the eigenenergies or the probability distributions of a quantum system. The discrepancies of the heat and work for various quantum…

Quantum Physics · Physics 2018-08-01 Shan-He Su , Jin-Fu Chen , Yu-Han Ma , Jin-Can Chen , Chang-Pu Sun

Quantum decoherence is of primary importance for relaxation to an equilibrium distribution and, accordingly, for equilibrium processes. We demonstrate how coherence breaking implies evolution to a microcanonical distribution…

Quantum Physics · Physics 2008-02-03 Stefan V. Mashkevich , Vladimir S. Mashkevich

Adiabatic variation of the parameters of a chaotic system results in a fluctuating reaction force. In the leading order in the adiabaticity parameter, a dissipative force, that is present in classical mechanics was found to vanish in…

chao-dyn · Physics 2009-10-31 Ophir M. Auslaender , Shmuel Fishman

In a quantum measurement, a coupling $g$ between the system S and the apparatus A triggers the establishment of correlations, which provide statistical information about S. Robust registration requires A to be macroscopic, and a dynamical…

Quantum Physics · Physics 2015-06-26 Armen E. Allahverdyan , Roger Balian , Theo M. Nieuwenhuizen

Keldysh field theory, based on adiabatic assumptions, serves as an widely used framework for addressing nonequilibrium many-body systems. Nonetheless, the validity of such adiabatic assumptions when addressing interacting Gibbs states…

Quantum Physics · Physics 2024-09-04 Yi Zuo , Qinghong Yang , Bang-Gui Liu , Dong E Liu

The discrete formulation of adiabatic quantum computing is compared with other search methods, classical and quantum, for random satisfiability (SAT) problems. With the number of steps growing only as the cube of the number of variables,…

Quantum Physics · Physics 2009-11-07 Tad Hogg

The parametric deformations of quasienergies and eigenvectors of unitary operators are applied to the design of quantum adiabatic algorithms. The conventional, standard adiabatic quantum computation proceeds along eigenenergies of…

Quantum Physics · Physics 2015-05-14 Atushi Tanaka , Kae Nemoto

We report on adiabatic state preparation in the one-dimensional quantum Ising model using ultracold bosons in a tilted optical lattice. We prepare many-body ground states of controllable system sizes and observe enhanced fluctuations around…

The evaluation of the performance of adiabatic annealers is hindered by lack of efficient algorithms for simulating their behaviour. We exploit the analyticity of the standard model for the adiabatic quantum process to develop an efficient…

We develop a phenomenological theory of pulse induced phase transformations behind the SET (from high to low resistive state) and RESET (backward) processes in nonvolatile memory. We show that in modern era devices, both evolve in the…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 V. G. Karpov

The design of new quantum algorithms has proven to be an extremely difficult task. This paper considers a different approach to the problem, by studying the problem of 'quantum state generation'. This approach provides intriguing links…

Quantum Physics · Physics 2007-05-23 Dorit Aharonov , Amnon Ta-Shma

We consider quantum dynamics for which the strict adiabatic approximation fails but which do not escape too far from the adiabatic limit. To treat these systems we introduce a generalisation of the time dependent wave operator theory which…

Quantum Physics · Physics 2015-06-16 David Viennot

We treat quantum back-reaction in time dependent processes for quantum field theory in various simplified models. The first example is a harmonic oscillator whose frequency depends on a second quantum variable $x$. Beginning with a…

High Energy Physics - Theory · Physics 2011-02-08 Curtis T. Asplund , David Berenstein

For multi-level time-dependent quantum systems one can construct superadiabatic representations in which the coupling between separated levels is exponentially small in the adiabatic limit. Based on results from [BeTe1] for special…

Mathematical Physics · Physics 2009-11-10 Volker Betz , Stefan Teufel

The anomalous dynamical evolution and the crossing of nonadiabatic energy levels are investigated for exactly solvable time-dependent quantum systems through a reverse-engineering scheme. By exploiting a typical driven model, we elucidate…

Quantum Physics · Physics 2020-01-08 Hong Cao , Shao-Wu Yao , Li-Xiang Cen

Despite its simplicity and strong theoretical guarantees, adiabatic state preparation has received considerably less interest than variational approaches for the preparation of low-energy electronic structure states. Two major reasons for…

Quantum Physics · Physics 2025-02-19 Etienne Granet , Khaldoon Ghanem , Henrik Dreyer

Weak measurements performed between quantum state preparation and post-selection result in complex values for self-adjoint operators, corresponding to complex conditional probabilities for the projections on specific eigenstates. In this…

Quantum Physics · Physics 2011-10-14 Holger F. Hofmann

We prove the adiabatic theorem for quantum evolution without the traditional gap condition. All that this adiabatic theorem needs is a (piecewise) twice differentiable finite dimensional spectral projection. The result implies that the…

Mathematical Physics · Physics 2009-10-31 J. E. Avron , A. Elgart

When parameters are varied periodically, charge can be pumped through a mesoscopic conductor without applied bias. Here, we consider the inverse effect in which a transport current drives a periodic variation of an adiabatic degree of…

Mesoscale and Nanoscale Physics · Physics 2013-08-14 Raul Bustos-Marun , Gil Refael , Felix von Oppen
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