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For classical Markovian stochastic systems, past and future events become statistically independent when conditioned to a given state at the present time. Memory non-Markovian effects break this condition, inducing a non-vanishing…

Quantum Physics · Physics 2018-12-14 Adrián A. Budini

Superconducting qubits coupled to meandering transmission lines or surface acoustic waves may realize giant artificial atoms, whose spatially separated coupling points give rise to long-lived non-Markovian dynamics. Previous studies were…

Quantum Physics · Physics 2026-01-08 Mei Yu , Walter T. Strunz , Stefan Nimmrichter

We investigate theoretically the properties of the photon state and the electronic transport in a system consisting of a metallic quantum dot strongly coupled to a superconducting microwave transmission line cavity. Within the framework of…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 C. Bergenfeldt , P. Samuelsson

A Markov assumption considers a physical system memoryless to simplify its dynamics. Whereas memory effect or the non-Markovian phenomenon is more general in nature. In the quantum regime, it is challenging to define or quantify the…

Non-Markovian features of a system evolution, stemming from memory effects, may be utilized to transfer, storage, and revive basic quantum properties of the system states. It is well known that an atom qubit undergoes non-Markovian dynamics…

Quantum Physics · Physics 2025-11-26 Ali Mortezapour , Mahdi Ahmadi Borji , DaeKil Park , Rosario Lo Franco

Thermoelectric effects in a quantum dot coupled to the source and drain charge reservoirs are explored using a nonequilibrium Green's functions formalism beyond the Hartree-Fock approximation. Thermal transport is analyzed within a linear…

Materials Science · Physics 2014-03-18 Natalya A. Zimbovskaya

The dynamical behavior of open quantum systems plays a key role in many applications of quantum mechanics, examples ranging from fundamental problems, such as the environment-induced decay of quantum coherence and relaxation in many-body…

Quantum Physics · Physics 2016-05-04 Heinz-Peter Breuer , Elsi-Mari Laine , Jyrki Piilo , Bassano Vacchini

We derive a non-Markovian theory for waiting time distributions of consecutive single electron transfer events. The presented microscopic Pauli rate equation formalism couples the open electrodes to the many-body system, allowing to take…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Sven Welack , YiJing Yan

The study of open quantum systems is important for fundamental issues of quantum physics as well as for technological applications such as quantum information processing. The interaction of a quantum system with it's environment is usually…

Quantum Physics · Physics 2016-02-02 Jun Sun , Yong-Nan Sun , Chuan-Feng Li , Guang-Can Guo , Kimmo Luoma , Jyrki Piilo

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

The degree of non-Markovianity allows to characterizing quantum evolutions that depart from a Markovian regime in a similar way as Schmidt number measures the degree of entanglement of pure states. Maximally non-Markovian dynamics are the…

Quantum Physics · Physics 2018-06-05 Adrián A. Budini

Recent experimental progress has made it possible to detect in real-time single electrons tunneling through Coulomb blockade nanostructures, thereby allowing for precise measurements of the statistical distribution of the number of…

Mesoscale and Nanoscale Physics · Physics 2010-10-07 Christian Flindt , Tomas Novotny , Alessandro Braggio , Antti-Pekka Jauho

Using exact-diagonalization techniques supplemented by a Dyson equation embedding procedure, the transport properties of multilevel quantum dots are investigated in the Kondo regime. The conductance can be decomposed into the contributions…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. A. Büsser , G. B. Martins , K. A. Al-Hassanieh , Adriana Moreo , Elbio Dagotto

We study the non-Markovian effect on the dynamics of the quantum discord by exactly solving a model consisting of two independent qubits subject to two zero-temperature non-Markovian reservoirs, respectively. Considering the two qubits…

Quantum Physics · Physics 2010-02-20 Bo Wang , Zhen-Yu Xu , Ze-Qian Chen , Mang Feng

The development of solid-state quantum technologies requires the understanding of quantum measurements in interacting, non-isolated quantum systems. In general, a permanent coupling of detectors to a quantum system leads to memory effects…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 Johannes Bülte , Adam Bednorz , Christoph Bruder , Wolfgang Belzig

We study and compare the sensitivity of multiple non-Markovianity indicators for a qubit subjected to general phase-covariant noise. For each of the indicators, we derive analytical conditions to detect the dynamics as non-Markovian. We…

Quantum Physics · Physics 2019-03-21 Jose Teittinen , Henri Lyyra , Boris Sokolov , Sabrina Maniscalco

Memory effects arise in many complex systems, from protein folding, to the spreading of epidemics and financial decisions. While so-called non-Markovian dynamics is common in larger systems with interacting components, observations in…

Non-Markovian systems form a broad area of physics that remains greatly unexplored despite years of intensive investigations. The spotlight is on memory as a source of effects that are absent in their Markovian counterparts. In this work we…

Statistical Mechanics · Physics 2024-05-29 M. Wiśniewski , J. Spiechowicz

Experimental results for sequential transport through a lateral quantum dot in the regime of spin blockade induced by spin dependent tunneling are compared with theoretical results obtained by solving a master equation for independent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. C. Rogge , F. Cavaliere , M. Sassetti , R. J. Haug , B. Kramer

We extend the second-order von Neumann approach within the generalized master equation formalism for quantum electronic transport to include the counting field. The resulting non-Markovian evolution equation for the reduced density matrix…

Mesoscale and Nanoscale Physics · Physics 2012-01-25 Philipp Zedler , Clive Emary , Tobias Brandes , Tomas Novotny