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Nonlinear electrical response permits a unique window into effects of band structure geometry. It can be calculated either starting from a Boltzmann approach for small frequencies, or using Kubo's formula for resonances at finite frequency.…

Mesoscale and Nanoscale Physics · Physics 2023-04-26 Daniel Kaplan , Tobias Holder , Binghai Yan

The study of noise assisted transport in quantum systems is essential in a wide range of applications from near-term NISQ devices to models for quantum biology. Here, we study a generalised XXZ model in the presence of stochastic collision…

Quantum Physics · Physics 2023-11-16 Alessandro Civolani , Vittoria Stanzione , Maria Luisa Chiofalo , Jorge Yago Malo

We have studied the electron transport through a quantum dot coupled to three leads in the presence of external microwave fields supplied to different parts of the considered mesoscopic system. Additionally, we introduced a possible…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 T. Kwapinski , R. Taranko , E. Taranko

In the context of a charge qubit under continuous monitoring by a single electron transistor, we propose an unraveling of the generalized quantum Markovian master equation into an ensemble of individual quantum trajectories for stochastic…

Mesoscale and Nanoscale Physics · Physics 2015-02-26 JunYan Luo , Jinshuang Jin , Shi-Kuan Wang , Jing Hu , Yixiao Huang , Xiao-Ling He

Noise-assisted transport phenomena highlight the nontrivial interplay between environmental effects and quantum coherence in achieving maximal efficiency. Due to the complexity of biochemical systems and their environments, effective open…

We have generalized the semi-analytic approach of special flow to the description of flows of passive particles taking into account internal noise. The model is represented by a series of recurrence relations. The recurrence relations are…

Statistical Mechanics · Physics 2023-12-12 Boris S. Maryshev , Lyudmila S. Klimenko

We apply the recently proposed quasi-classical approach for a second quantized many-electron Hamiltonian in Cartesian coordinates [J. Chem. Phys. 137, 154107 (2012)] to correlated nonequilibrium quantum transport. The approach provides…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Bin Li , Tal J. Levy , David W. H. Swenson , Eran Rabani , William H. Miller

Adopting a statistical approach we study the degradation of entanglement of a quantum system under the action of an ensemble of randomly distributed Markovian noise. This enables us to address scenarios where only limited information is…

Quantum Physics · Physics 2025-03-07 Nunzia Cerrato , Giacomo De Palma , Vittorio Giovannetti

We consider tunneling of spinless electrons from a single channel emitter into an empty collector through an interacting resonant level of the quantum dot (QD). When all Coulomb screening of sudden charge variations of the dot during the…

Strongly Correlated Electrons · Physics 2019-05-22 V. V. Ponomarenko , I. A. Larkin

Beyond the second-order Born approximation, we develop an improved master equation approach to quantum transport by virtue of a self-consistent Born approximation. The basic idea is replacing the free Green's function in the tunneling…

Mesoscale and Nanoscale Physics · Physics 2014-06-27 Jun Li , Jinshuang Jin , Xin-Qi Li , YiJing Yan

The noise decoupling problem is investigated for general N-level Markovian open quantum systems. Firstly, the concept of Cartan decomposition of the Lie algebra $su(N)$ is introduced as a tool of designing control Hamiltonians. Next, under…

Quantum Physics · Physics 2009-09-30 Jing Zhang , Re-Bing Wu , Chun-Wen Li , Tzyh-Jong Tarn , Jian-Wu Wu

We develop a unified theory of weakly probed differential observables for currents and noise in transport experiments. Our findings uncover a set of universal transport relations between thermoelectric and noise properties of a system…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Andrei I. Pavlov , Mikhail N. Kiselev

We introduce the von Neumann entropy regularization of Unbalanced Non-commutative Optimal Transport, specifically Non-commutative Optimal Transport between semi-definite positive matrices (not necessarily with trace one). We prove the…

Optimization and Control · Mathematics 2024-02-28 Augusto Gerolin , Nataliia Monina

We theoretically show that the dynamics of a driven quantum harmonic oscillator subject to non-dissipative noise is formally equivalent to the single-particle dynamics propagating through an experimentally feasible dynamically-disordered…

We propose a quantum mechanical approach to noise in resonant tunneling structures, that can be applied in the whole range of transport regimes, from completely coherent to completely incoherent. In both limiting cases, well known results…

Condensed Matter · Physics 2009-10-28 G. Iannaccone , M. Macucci , B. Pellegrini

Non-Markovian noise, arising from environmental memory effects, is the most general and challenging form of noise in quantum computing, and is typically difficult to characterize and suppress. Here, we analyze and experimentally demonstrate…

Quantum Physics · Physics 2025-11-26 Hongfeng Liu , Zizhao Han , Xinfang Nie , Zhenhuan Liu , Dawei Lu

We carry out a detailed analysis of coherent resonant tunneling through two coupled quantum dots (CQD) in a parallel arrangement in the weak tunneling limit. We establish a set of quantum rate equations (QREs) in terms of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Bing Dong , X. L. Lei , N. J. M. Horing

We analyze precision bounds for a local phase estimation in the presence of general, non-Markovian phase noise. We demonstrate that the metrological equivalence of product and maximally entangled states that holds under strictly Markovian…

Quantum Physics · Physics 2015-05-27 Alex W. Chin , Susana F. Huelga , Martin B. Plenio

In the literature, the study of electron transport in quantum devices is mainly devoted to DC properties. The fluctuations of the electrical current around these DC values, the so-called quantum noise, are much less analyzed. The…

Quantum Physics · Physics 2015-03-11 Damiano Marian , Enrique Colomés , Zhen Zhan , Xavier Oriols

Stochastic resonance is a phenomenon where the response signal to external driving is enhanced by environment noise. In quantum regime, the effect of environment is often intrinsically non-Markovian. Due to the combination of such…

Mesoscale and Nanoscale Physics · Physics 2023-03-17 Ruofan Chen , Xiansong Xu
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