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In quantum sensing and metrology, an important class of measurement is the continuous linear measurement, in which the detector is coupled to the system of interest linearly and continuously in time. One key aspect involved is the quantum…

Quantum Physics · Physics 2017-01-26 Haixing Miao

Thermodynamic Uncertainty Relations (TURs) set universal bounds linking current fluctuations to entropy production in nonequilibrium steady states. Their multidimensional generalization (MTUR) introduces matrix inequalities connecting…

Mesoscale and Nanoscale Physics · Physics 2026-05-07 Sergi Vidal , Alba Mayor-Fernandez , Rosa Lopez

We review the properties of electron shuttles, i.e. nanoelectromechanical devices that transport electrons one-by-one by utilizing a combination of electronic and mechanical degrees of freedom. We focus on the extreme quantum limit, where…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. P. Jauho , C. Flindt , Tomas Novotny , Andrea Donarini

A quantum finite multi-barrier system, with a periodic potential, is considered and exact expressions for its plane wave amplitudes are obtained using the Transfer Matrix method [10]. This quantum model is then associated with a stochastic…

Statistical Mechanics · Physics 2019-06-26 Emilio N. M. Cirillo , Matteo Colangeli , Lamberto Rondoni

The origin of the phenomenological deterministic laws that approximately govern the quasiclassical domain of familiar experience is considered in the context of the quantum mechanics of closed systems such as the universe as a whole. We…

General Relativity and Quantum Cosmology · Physics 2014-01-15 Murray Gell-Mann , James B. Hartle

Transport in open quantum systems can be explored through various theoretical frameworks, including the quantum master equation, scattering matrix, and Heisenberg equation of motion. The choice of framework depends on factors such as the…

Quantum Physics · Physics 2024-11-14 Gianmichele Blasi , Shishir Khandelwal , Géraldine Haack

Scaling arguments imply that quantum critical points exhibit universal non-linear responses to external probes. We investigate the origins of such non-linearities in transport, which is especially problematic since the system is necessarily…

Superconductivity · Physics 2007-05-23 A. G. Green , S. L. Sondhi

The late-time dynamics of quantum many-body systems is organized in distinct dynamical universality classes, characterized by their conservation laws and thus by their emergent hydrodynamic transport. Here, we study transport in the…

Quantum Gases · Physics 2022-08-30 Philip Zechmann , Alvise Bastianello , Michael Knap

We have formulated the problem of electron transport through interacting quantum dot system in the framework of self-consistent perturbation theory, and show that the current conservation condition is guaranteed due to the gauge invariant…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Guo-Hui Ding , Bing Dong

A deeper understanding of the differences between quantum and classical dynamics promises great potential for emerging technologies. Nevertheless, some aspects remain poorly understood, particularly concerning the role of quantum coherence…

Mesoscale and Nanoscale Physics · Physics 2023-06-09 Kacper Prech , Philip Johansson , Elias Nyholm , Gabriel T. Landi , Claudio Verdozzi , Peter Samuelsson , Patrick P. Potts

We study the spread of a quantum-mechanical wavepacket in a noisy environment, modeled using a tight-binding Hamiltonian. Despite the coherent dynamics, the fluctuating environment may give rise to diffusive behavior. When correlations…

Statistical Mechanics · Physics 2019-07-29 Nisarga Paul , Ariel Amir

We consider quantum Hamiltonian systems composed of mutually interacting "dynamical subsystem" with one or several degrees of freedom and "thermostat" with arbitrary many degrees of freedom, under assumptions that the interaction ensures…

Statistical Mechanics · Physics 2012-07-03 Yu. E. Kuzovlev

We study a frequency-dependent noise-to-current ratio for asymmetric, symmetric, and noncommutative current-noise in a ferromagnetic insulating junction, and extract quantum-mechanical properties of magnon transport at low temperatures. We…

Mesoscale and Nanoscale Physics · Physics 2019-04-04 Kouki Nakata , Yuichi Ohnuma , Mamoru Matsuo

We investigate transient version of the recently discovered thermodynamic uncertainty relation (TUR) which provides a precision-cost trade-off relation for certain out-of-equilibrium thermodynamic observables in terms of net entropy…

Statistical Mechanics · Physics 2021-03-03 Sushant Saryal , Onkar Sadekar , Bijay Kumar Agarwalla

We show that transport in the presence of entropic barriers exhibits peculiar characteristics which makes it distinctly different from that occurring through energy barriers. The constrained dynamics yields a scaling regime for the particle…

Statistical Mechanics · Physics 2009-11-11 D. Reguera , G. Schmid , P. S. Burada , J. M. Rubí , P. Hänggi

We use kinetic theory in order to study the role of quantum fluctuations in the isotropization of the pressure tensor in a system subject to fast longitudinal expansion, such as the matter produced in the early stages of a heavy ion…

High Energy Physics - Phenomenology · Physics 2016-04-20 Francois Gelis

Measuring the power spectral density of a stochastic process, such as a stochastic force or magnetic field, is a fundamental task in many sensing applications. Quantum noise is becoming a major limiting factor to such a task in future…

An approach to the problem of 1/f voltage noise in conductors is developed based on an uncertainty relation for the Fourier-transformed signal. The quantum indeterminacy caused by non-commutativity of the observables at different times…

Quantum Physics · Physics 2020-06-23 Kirill A. Kazakov

Quantum metrology pursues the physical realization of higher-precision measurements to physical quantities than the classically achievable limit by exploiting quantum features, such as entanglement and squeezing, as resources. It has…

Quantum Physics · Physics 2023-11-29 Lin Jiao , Wei Wu , Si-Yuan Bai , Jun-Hong An

Quantum sensors hold considerable promise for precision measurement, yet their capabilities are inherently constrained by environmental noise. A fundamental task in quantum sensing is determining the precision limit of noisy sensor devices.…

Quantum Physics · Physics 2026-04-14 Dayou Yang , Moulik Ketkar , Koenraad Audenaert , Susana F. Huelga , Martin B. Plenio
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