4.6 Article

Single-electron transistor strongly coupled to vibrations: counting statistics and fluctuation theorem

Journal

NEW JOURNAL OF PHYSICS
Volume 15, Issue -, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/15/3/033032

Keywords

-

Funding

  1. DFG [SCHA 1646/2-1, SFB 910, GRK 1558]
  2. National Research Fund, Luxembourg [FNR/A11/02]

Ask authors/readers for more resources

Using a simple quantum master equation approach, we calculate the full counting statistics of a single-electron transistor strongly coupled to vibrations. The full counting statistics contains both the statistics of integrated particle and energy currents associated with the transferred electrons and phonons. A universal as well as an effective fluctuation theorem are derived for the general case where the various reservoir temperatures and chemical potentials are different. The first relates to the entropy production generated in the junction, while the second reveals internal information of the system. The model recovers the Franck-Condon blockade, and potential applications to non-invasive molecular spectroscopy are discussed.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Physics, Multidisciplinary

Quantum collisional thermostats

Jorge Tabanera, Ines Luque, Samuel L. Jacob, Massimiliano Esposito, Felipe Barra, Juan M. R. Parrondo

Summary: Collisional reservoirs are important in modeling open quantum systems, where theoretical solutions in one dimension with flat interaction potentials are feasible. Approximate scattering map methods help preserve the system's symmetries and achieve thermalization effectively.

NEW JOURNAL OF PHYSICS (2022)

Article Chemistry, Multidisciplinary

Insights from an information thermodynamics analysis of a synthetic molecular motor

Shuntaro Amano, Massimiliano Esposito, Elisabeth Kreidt, David A. Leigh, Emanuele Penocchio, Benjamin M. W. Roberts

Summary: The framework of information thermodynamics allows us to quantitatively relate information to other thermodynamic parameters and reveals the generation of energy and information flow in the chemical to mechanical process. This is of great significance for understanding the thermodynamic level of molecular motors and has practical implications for machine design.

NATURE CHEMISTRY (2022)

Article Physics, Multidisciplinary

Finite-Time Dynamical Phase Transition in Nonequilibrium Relaxation

Jan Meibohm, Massimiliano Esposito

Summary: We have discovered a finite-time dynamical phase transition in the thermal relaxation process, which is characterized by a cusp singularity in the probability distribution of the magnetization at a critical time. This transition is attributed to the sudden switch in dynamics, represented by a dynamical order parameter. We have developed a dynamical Landau theory that applies to various systems with scalar, parity-invariant order parameters. Our theory reveals an exact mapping between the dynamical and equilibrium phase transitions of the magnetic model near criticality, suggesting critical exponents of mean-field type. We propose that neglected interactions between nearby saddle points at the mean-field level may lead to spatiotemporal fluctuations and give rise to novel dynamical critical phenomena.

PHYSICAL REVIEW LETTERS (2022)

Article Chemistry, Physical

Information thermodynamics for deterministic chemical reaction networks

Emanuele Penocchio, Francesco Avanzini, Massimiliano Esposito

Summary: This study extends the scope of information thermodynamics to deterministic bipartite chemical reaction networks and introduces a meaningful concept of mutual information between different molecular features. By using this concept, separate second laws can be formulated for each subnetwork, and the working mechanisms of chemically driven self-assembly and light-driven bimolecular motor can be investigated.

JOURNAL OF CHEMICAL PHYSICS (2022)

Article Chemistry, Physical

Free-energy transduction in chemical reaction networks: From enzymes to metabolism

Artur Wachtel, Riccardo Rao, Massimiliano Esposito

Summary: This article provides a rigorous definition of free-energy transduction and its efficiency in open chemical reaction networks. Central energy metabolism is analyzed to relate the fundamental currents to metabolic pathways and discuss their efficiency in transducing free energy.

JOURNAL OF CHEMICAL PHYSICS (2022)

Article Nanoscience & Nanotechnology

Kinetic and energetic insights into the dissipative non-equilibrium operation of an autonomous light-powered supramolecular pump

Stefano Corra, Marina Tranfic Bakic, Jessica Groppi, Massimo Baroncini, Serena Silvi, Emanuele Penocchio, Massimiliano Esposito, Alberto Credi

Summary: This study presents a theoretical model and experimental evidence for the operation of an out-of-equilibrium photoactivated artificial molecular pump. The relationship between light energy input and the deviation of the dissipative state from thermodynamic equilibrium in this artificial system is quantitatively analyzed.

NATURE NANOTECHNOLOGY (2022)

Article Chemistry, Physical

Deficiency, kinetic invertibility, and catalysis in stochastic chemical reaction networks

Shesha Gopal Marehalli Srinivas, Matteo Polettini, Massimiliano Esposito, Francesco Avanzini

Summary: This paper investigates the relationship between the chemical master equation and its dual equation for stochastic chemical processes. By studying the topological properties of the chemical reaction network, it is determined whether they satisfy the law of mass-action. It is proven that only networks with zero deficiency can satisfy the law of mass-action, while other networks cannot invert the direction of their steady-state reactions by controlling the kinetic constants. Therefore, the deficiency of the network determines the non-invertibility of the chemical dynamics. Furthermore, it is shown that catalytic chemical networks do not have zero deficiency when they are driven out of equilibrium due to species exchange with the environment.

JOURNAL OF CHEMICAL PHYSICS (2023)

Article Physics, Multidisciplinary

Fermionic One-Body Entanglement as a Thermodynamic Resource

Krzysztof Ptaszynski, Massimiliano Esposito

Summary: There is controversy about whether the coherent superposition of occupied states of two fermionic modes should be regarded as entangled, and whether the quantum correlations it possesses are accessible and usable as a resource. The superselection rule has been cited as a reason for why this entanglement cannot be accessed through local operations on individual modes. However, this study demonstrates that entanglement of a two-mode fermionic state can be utilized as a genuine quantum resource in open-system thermodynamic processes, enabling tasks that are forbidden for separable states. Quantum thermodynamics can thus provide insight into the nature of fermionic entanglement and its operational meaning.

PHYSICAL REVIEW LETTERS (2023)

Article Physics, Multidisciplinary

Thermalization and Dephasing in Collisional Reservoirs

Jorge Tabanera-Bravo, Juan M. R. Parrondo, Massimiliano Esposito, Felipe Barra

Summary: We introduce a class of quantum maps that can thermalize a system in collisional reservoirs when combined with a dephasing mechanism. These maps describe collision effects, inducing transitions obeying detailed balance and creating coherences that prevent thermalization. By combining these maps with random unitary evolution causing dephasing, we find that a low collision rate leads to thermalization in the system. This scenario is suitable for modeling equilibrium collisional reservoirs, and we provide a thorough characterization of the resulting thermalization process.

PHYSICAL REVIEW LETTERS (2023)

Article Physics, Applied

Performance Boost of a Collective Qutrit Refrigerator

Dmytro Kolisnyk, Gernot Schaller

Summary: By selectively driving the transitions of a single qutrit with weakly coupled reservoirs, one of the world's smallest refrigerators can be implemented. We analyze the performance of N such fridges that are collectively coupled to the reservoirs. We observe a quantum boost, seen in a quadratic scaling of the steady-state cooling current with N. As N increases, the scaling reduces to linear due to energetically unfavorable transitions responsible for the quantum boost.

PHYSICAL REVIEW APPLIED (2023)

Article Quantum Science & Technology

Quantum and Classical Contributions to Entropy Production in Fermionic and Bosonic Gaussian Systems

Krzysztof Ptaszynski, Massimiliano Esposito

Summary: The entropy production in fermionic systems is mostly quantum due to the restriction on allowed measurements imposed by the parity superselection rule. In contrast, bosonic systems allow for a larger amount of classical correlations to be accessed through Gaussian measurements. This distinction suggests a quantum-to-classical transition in the microscopic formulation of entropy production.

PRX QUANTUM (2023)

Article Physics, Fluids & Plasmas

Ensemble dependence of information-theoretic contributions to the entropy production

Krzysztof Ptaszynski, Massimiliano Esposito

Summary: This study investigates the entropy production of an open system coupled to a reservoir initialized in a canonical state. The entropy production is found to be a sum of the mutual information between the system and the bath, as well as a measure of the displacement of the environment from equilibrium. However, when the reservoir is initialized in a microcanonical or certain pure state, the information-theoretic contributions to the entropy production depend on the initial state of the reservoir.

PHYSICAL REVIEW E (2023)

Article Physics, Fluids & Plasmas

Information flows in macroscopic Maxwell?s demons

Nahuel Freitas, Massimiliano Esposito

Summary: A CMOS-based implementation of an autonomous Maxwell's demon was proposed to demonstrate its functionality at macroscopic scales. The nonautonomous version of the model was analyzed analytically, followed by a study of system-demon information flows in generic bipartite setups. It was found that the information flow is an intensive quantity and scaling the thermodynamic forces can prevent the demon from stopping above a finite scale.

PHYSICAL REVIEW E (2023)

Article Physics, Multidisciplinary

Quantum Zeno manipulation of quantum dots

N. Ahmadiniaz, M. Geller, J. Koenig, P. Kratzer, A. Lorke, G. Schaller, R. Schuetzhold

Summary: This paper investigates the potential application of the quantum Zeno effect in isolating a quantum dot from its surrounding electron reservoir, specifically focusing on the tunneling of an electron from a continuum reservoir to a discrete level in the dot. The study finds that achieving the quantum Zeno effect in this scenario can be challenging, but the required repetition rate can be lowered through certain methods. The paper also discusses the anti-Zeno effect and how measurements can accelerate or enable quantum evolution.

PHYSICAL REVIEW RESEARCH (2022)

Article Materials Science, Multidisciplinary

Environment-induced decay dynamics of antiferromagnetic order in Mott-Hubbard systems

G. Schaller, F. Queisser, N. Szpak, J. Koenig, R. Schuetzhold

Summary: In this study, we investigate the dissipative Fermi-Hubbard model under weak tunneling and strong repulsive interactions. We find that the Mott insulator property remains stable for cold baths at intermediate chemical potentials, and the particle number relaxes quickly towards half filling. On longer time scales, the antiferromagnetic order of the Mott-Neel ground state on bipartite lattices decays, even at zero temperature. We quantify the different relaxation time scales for zero and nonzero temperatures using waiting time distributions, which can be derived from an effective (non-Hermitian) Hamiltonian.

PHYSICAL REVIEW B (2022)

No Data Available