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We review Floquet formalism of quantum electron pumps. In the Floquet formalism the quantum pump is regarded as a time dependent scattering system, which allows us to go beyond the adiabatic limit. It can be shown that the well-known…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sang Wook Kim

We study heating rates in strongly interacting quantum lattice systems in the thermodynamic limit. Using a numerical linked cluster expansion, we calculate the energy as a function of the driving time and find a robust exponential regime.…

Statistical Mechanics · Physics 2019-12-16 Krishnanand Mallayya , Marcos Rigol

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

We expand upon the standard quantum adiabatic theorem, examining the time-dependence of quantum evolution in the near-adiabatic limit. We examine a Hamiltonian that evolves along some fixed trajectory from $\hat{H}_0$ to $\hat{H}_1$ in a…

Quantum Physics · Physics 2018-05-07 Lucas Brady , Wim van Dam

We review the quantum adiabatic approximation for closed systems, and its recently introduced generalization to open systems (M.S. Sarandy and D.A. Lidar, e-print quant-ph/0404147). We also critically examine a recent argument claiming that…

Quantum Physics · Physics 2007-05-23 M. S. Sarandy , L. -A. Wu , D. A. Lidar

The second law of thermodynamics for adiabatic operations -- constraints on state transitions in closed systems under external control -- is one of the fundamental principles of thermodynamics. On the other hand, it is recently established…

Statistical Mechanics · Physics 2026-02-09 Yuuya Chiba , Yasushi Yoneta , Ryusuke Hamazaki , Akira Shimizu

When an external parameter drives a system across a quantum phase transition at a finite rate, work is performed on the system and entropy is dissipated, due to the creation of excitations via the Kibble-Zurek mechanism. Although both the…

Quantum Physics · Physics 2025-10-09 Zhanyu Ma , Andrew K. Mitchell , Eran Sela

We propose an arbitrary driven spin as the working fluid of a quantum Otto cycle in the presence of internal friction. The role of total allocated time to the adiabatic branches of the cycle, generated by different control field profiles,…

Quantum Physics · Physics 2017-05-17 Selcuk Cakmak , Ferdi Altintas , Ozgur E. Mustecaplioglu

We investigate microscopically the tunneling dynamics in spontaneous fission of atomic nuclei. To this end, we employ a schematic solvable model with a pairing-plus-quadrupole interaction. The spontaneous decay of a system is simulated by…

Nuclear Theory · Physics 2020-07-01 K. Hagino , G. F. Bertsch

Understanding the out-of-equilibrium dynamics of a closed quantum system driven across a quantum phase transition is an important problem with widespread implications for quantum state preparation and adiabatic algorithms. While the quantum…

Quantum Physics · Physics 2024-01-30 Rhine Samajdar , David A. Huse

Quantum simulation of many-body systems are one of the most interesting tasks of quantum technology. Among them is the preparation of a many-body system in its ground state when the vanishing energy gap makes the cooling mechanisms…

Quantum Physics · Physics 2015-05-01 Umer Farooq , Abolfazl Bayat , Stefano Mancini , Sougato Bose

Different techniques to speed up quantum adiabatic processes are currently being explored for applications in atomic, molecular and optical physics, such as transport, cooling and expansions, wavepacket splitting, or internal state control.…

Quantum Physics · Physics 2013-01-01 S. Ibáñez , Xi Chen , J. G. Muga

The quantitative adiabatic condition (QAC), or quantitative condition, is a convenient (a priori) tool for estimating the adiabaticity of quantum evolutions. However, the range of the applicability of QAC is not well understood. It has been…

Quantum Physics · Physics 2014-05-13 Dafa Li , Man-Hong Yung

Surface hopping algorithms, as an important class of quantum dynamics simulation algorithms for non-adiabatic dynamics, are typically performed in the adiabatic representation, which can break down in the presence of ill-defined adiabatic…

Numerical Analysis · Mathematics 2022-05-06 Zhenning Cai , Di Fang , Jianfeng Lu

A universal scheme is introduced to speed up the dynamics of a driven open quantum system along a prescribed trajectory of interest. This framework generalizes counterdiabatic driving to open quantum processes. Shortcuts to adiabaticity…

Quantum Physics · Physics 2020-09-30 S. Alipour , A Chenu , A. T. Rezakhani , A. del Campo

Understanding out-of-equilibrium quantum dynamics is a critical outstanding problem, with key questions regarding characterizing adiabaticity for applications in quantum technologies. We show how the metric-space approach to quantum…

Quantum Physics · Physics 2018-07-11 A. H. Skelt , R. W. Godby , I. D'Amico

We analyze the performance of adiabatic quantum computation (AQC) under the effect of decoherence. To this end, we introduce an inherently open-systems approach, based on a recent generalization of the adiabatic approximation. In contrast…

Quantum Physics · Physics 2009-11-11 M. S. Sarandy , D. A. Lidar

We present a new approach to study the thermodynamic properties of $d$-dimensional classical systems by reducing the problem to the computation of ground state properties of a $d$-dimensional quantum model. This classical-to-quantum mapping…

Quantum Physics · Physics 2009-11-13 Rolando D. Somma , Cristian D. Batista , Gerardo Ortiz

We propose a quantity, ${\mathcal{A}\!\!\!/}$, as a measure describing the nonadiabaticity of a thermodynamic process. For this purpose, we use a schematic method to find the measure of the `degree of nonadiabaticity'. The method utilizes…

Quantum Physics · Physics 2022-03-02 Hyeong-Chan Kim , Youngone Lee

A quantum system will stay near its instantaneous ground state if the Hamiltonian that governs its evolution varies slowly enough. This quantum adiabatic behavior is the basis of a new class of algorithms for quantum computing. We test one…

Quantum Physics · Physics 2009-11-07 Edward Farhi , Jeffrey Goldstone , Sam Gutmann , Joshua Lapan , Andrew Lundgren , Daniel Preda
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