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This paper presents a formalism describing the dynamics of a quantum particle in a one-dimensional, time-dependent, tilted lattice. The formalism uses the Wannier-Stark states, which are localized in each site of the lattice, and provides a…

量子物理 · 物理学 2007-05-23 Quentin Thommen , Jean Claude Garreau , Veronique Zehnle

In the quantum Zeno effect, quantum measurements can block the coherent oscillation of a two level system by freezing its state to one of the measurement eigenstates. The effect is conventionally controlled by the measurement frequency.…

量子物理 · 物理学 2020-10-06 Kyrylo Snizhko , Parveen Kumar , Alessandro Romito

We study the quantum dynamics of a charged particle in a two-dimensional lattice, subject to constant and homogeneous electric and magnetic fields. We find that different regimes characterize these motions, depending on a combination of…

量子物理 · 物理学 2013-05-30 A. R. Kolovsky , I. Chesnokov , G. Mantica

This papers presents a formalism describing the dynamics of a quantum particle in a one-dimensional tilted time-dependent lattice. The description uses the Wannier-Stark states, which are localized in each site of the lattice and provides a…

量子物理 · 物理学 2007-05-23 Quentin Thommen , Jean Claude Garreau , Veronique Zehnle

We consider a qubit governed by a sequence of weak measurements, with the measurement strength modified in a time- and state-dependent manner. The resulting trajectory of the qubit in the phase space can be weakly controlled without any…

量子物理 · 物理学 2017-04-12 Ihar Babushkin

We study the evolution of bosons in a periodically driven optical lattice during a slow change of the driving amplitude. Both the regime of high frequency and low frequency driving are investigated. In the low frequency regime, resonant…

量子气体 · 物理学 2015-05-28 Dario Poletti , Corinna Kollath

We experimentally investigate a scheme for studying lattice transport phenomena, based on the controlled momentum-space dynamics of ultracold atomic matter waves. In the effective tight-binding models that can be simulated, we demonstrate…

量子气体 · 物理学 2016-07-12 Eric J. Meier , Fangzhao Alex An , Bryce Gadway

The problem of the time of arrival of a quantum system in a specified state is considered in the framework of the repeated measurement protocol and in particular the limit of continuous measurements is discussed. It is shown that for a…

量子物理 · 物理学 2021-04-07 Varun Dubey , Cedric Bernardin , Abhishek Dhar

We study the dynamics of quantum systems interacting with a stream of entangled qubits. Under fairly general conditions, we present a detailed framework describing the conditional dynamical maps for the system, called quantum trajectories,…

量子物理 · 物理学 2022-08-04 Shakib Daryanoosh , Alexei Gilchrist , Ben Q. Baragiola

Dynamical properties of two bosonic quantum walkers in a one-dimensional lattice are studied theoretically. Depending on the initial state, interactions, lattice tilting, and lattice disorder, whole plethora of different behaviors are…

量子物理 · 物理学 2017-11-06 Dariusz Wiater , Tomasz Sowiński , Jakub Zakrzewski

Kinetically constrained models have been widely studied in the context of glass formers and non-equilibrium statistical mechanics. Although their simple local rules often result in structureless static properties, their dynamics exhibit…

量子物理 · 物理学 2026-03-20 Marcel Cech , Johan du Buisson , Cecilia De Fazio , Federico Carollo , Igor Lesanovsky

The transport of ultra-cold atoms in magneto-optical potentials provides a clean setting in which to investigate the distinct predictions of classical versus quantum dynamics for a system with coupled degrees of freedom. In this system,…

We study a soliton in an optical lattice holding bosonic atoms quantum mechanically using both an exact numerical solution and quantum Monte Carlo simulations. The computation of the state is combined with an explicit account of the…

量子物理 · 物理学 2009-11-13 Juha Javanainen , Uttam Shrestha

We consider a quantum particle, moving on a lattice with a tight-binding Hamiltonian, which is subjected to measurements to detect it's arrival at a particular chosen set of sites. The projective measurements are made at regular time…

量子物理 · 物理学 2015-06-19 Shrabanti Dhar , Subinay Dasgupta , Abhishek Dhar , Diptiman Sen

Quantum measurements are described as instantaneous projections in textbooks. They can be stretched out in time using weak measurements, whereby one can observe the evolution of a quantum state as it heads towards one of the eigenstates of…

量子物理 · 物理学 2018-04-11 Parveen Kumar , Suman Kundu , Madhavi Chand , R. Vijayaraghavan , Apoorva Patel

Quantum Zeno dynamics (QZD), which restricts the system's evolution to a protected subspace, provides a promising approach for protecting quantum information from noise. Here, we explore a practical approach to harnessing QZD for robust…

量子物理 · 物理学 2026-01-06 Ran Liu , Xiaodong Yang , Xiang Lv , Xinyue Long , Hongfeng Liu , Dawei Lu , Ying Dong , Jun Li

The quantum dynamics of quasiperiodic systems display a rich variety of physical behaviors due to the combination of rotational symmetry that is mathematically forbidden in periodic systems, and long-range order despite the lack of…

量子气体 · 物理学 2026-05-07 Andrew O. Neely , Cedric C. Wilson , Ryan Everly , Yu Yao , Raffaella Zanetti , Charles D. Brown

In contrast to the fully projective limit of strong quantum measurement, where the evolution is locked to a small subspace (quantum Zeno dynamics), or even frozen completely (quantum Zeno effect), the weak non-projective measurement can…

We study the dynamics of a Bose-Einstein condensate in a one-dimensional optical lattice in the limit of weak atom-atom interactions, including an approximate model for quantum fluctuations. A pulsating dynamical instability in which atoms…

其他凝聚态物理 · 物理学 2009-04-17 Uttam Shrestha , Juha Javanainen , Janne Ruostekoski

This note describes recent results on the localization properties of Random Quantum Walks on the d-dimensional lattice in a regime analogous to the large disorder regime by means of the Fractional Moments Method adapted to the unitary…

数学物理 · 物理学 2012-09-20 Alain Joye
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