Article
Physics, Multidisciplinary
Patrick P. Potts, Alex Arash Sand Kalaee, Andreas Wacker
Summary: Markovian master equations are a versatile tool for describing open quantum systems in the absence of memory effects. A new thermodynamically consistent Markovian master equation introduced in this study provides an accurate description by rescaling the Hamiltonian, ensuring a limited resolution for heat and enabling a consistent thermodynamic description of systems where the secular approximation breaks down.
NEW JOURNAL OF PHYSICS
(2021)
Article
Physics, Mathematical
Krzysztof Szczygielski
Summary: In this study, an open quantum system in M-d(C) governed by a quasiperiodic Hamiltonian with rationally independent frequencies is considered, and the Markovian Master Equation is constructed using projection operator techniques. The analysis also includes results regarding stability of solutions and existence of quasiperiodic global steady state.
REVIEWS IN MATHEMATICAL PHYSICS
(2022)
Article
Optics
Dong Xie, Chunling Xu
Summary: The exceptional point (EP) refers to the non-Hermitian degeneracy where both eigenvalues and eigenstates become identical. The conventional local Markovian master equation can be used to construct EP in a system composed of coupled subsystems. However, the coupling between two systems leads to inconsistency in the conventional local Markovian master equation. By using the self-consistent Markovian master equation, it is shown that there is no EP in a system composed of two bosonic subsystems suffering from incoherent gain and loss. It is further proven that the conventional local Markovian master equation can be valid when the coupling strength is much smaller than the difference in resonance frequency between the two subsystems, rather than the resonance frequencies. In a system composed of three bosonic subsystems, the EP can be obtained by adiabatically eliminating one of the three subsystems.
Article
History & Philosophy Of Science
Majid D. Beni
Summary: The paper critiques the validity of arguments for Markovian monism, highlighting the complexity of scientific representation and the limitations of projecting properties of scientific models onto their targets to determine the ontological properties of those targets.
Article
Physics, Multidisciplinary
Alberto Barchielli
Summary: This article discusses the problem of constructing a consistent quantum-classical hybrid dynamics. By quantum-classical interaction, the classical component can be observed and information on the quantum component can be extracted. The study shows that suitable dissipation terms must be present in the generator to achieve a flow of information from the quantum component to the classical one.
Article
Physics, Multidisciplinary
Xiantao Li
Summary: The study introduces embedding procedures for non-Markovian stochastic Schrodinger equations to improve computational efficiency. The accuracy of embedded models is ensured by fitting to the power spectrum. The use of correlated stochastic processes allows preservation of the asymptotic behavior of spectral density in the low frequency regime.
Review
Automation & Control Systems
Yumei Zhou, Yuru Guo, Chang Liu, Hui Peng, Hongxia Rao
Summary: This paper investigates synchronisation for Markovian master-slave neural networks by adopting an event-triggered impulsive transmission strategy and designing a corresponding controller. Information transmission only occurs at discontinuous instants determined by a state-dependent event-triggered condition and a predesigned forced impulse interval, to cope with the communication channel bandwidth constraint. Synchronization for Markovian master-slave NNs is guaranteed by a sufficient condition, and the controller gains are designed using the obtained results. A numerical simulation is conducted to demonstrate the effectiveness of the proposed method.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2023)
Article
Physics, Multidisciplinary
S. Flannigan, F. Damanet, A. J. Daley
Summary: In this Letter, the authors propose a method that combines nonMarkovian quantum state diffusion techniques with tensor network methods to capture the non-Markovian dynamics of open quantum systems. By applying this method to a Hubbard-Holstein model, they are able to quantitatively assess the impact of non-Markovian dissipation on correlation spreading and find that these effects can enhance correlation growth, providing new routes for dissipatively enhancing transport and correlation spreading in both solid state and cold atom experiments.
PHYSICAL REVIEW LETTERS
(2022)
Article
Optics
S. L. Wu, X. L. Huang, X. X. Yi
Summary: We derive a Markovian master equation for driven open quantum systems based on the Lewis-Riesenfeld-invariants theory, which is available for arbitrary driving protocols. The role of the Lewis-Riesenfeld invariants is to help us bypass the time-ordering obstacle in expanding the propagator of the free dynamics, such that the Lindblad operators in our driven Markovian master equation can be determined easily. We also illustrate that, for the driven open quantum systems, the spontaneous emission and the thermal excitation induce the transitions between eigenstates of the Lewis-Riesenfeld invariant, but not the system Hamiltonian's. As an example, we present the driven Markovian master equation for a driven two-level system coupled to a heat reservoir. By comparing to the exactly solvable models, the availability of the driven Markovian master equation is verified. Meanwhile, the adiabatic limit and inertial limit of the driven Markovian master equation are also discussed, which result in the same Markovian master equations as those presented before in the corresponding limits.
Review
Physics, Multidisciplinary
Dariusz Chruscinski
Summary: Quantum dynamical maps are important for representing quantum evolutions mathematically, with positivity and trace-preservation being necessary requirements. Complete positivity is crucial for proper representation, while Markovian semigroups provide approximate descriptions. The concept of CP-divisibility is widely accepted as a proper definition of quantum Markovianity.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2022)
Article
Optics
Kai-Ting Chiang, Wei-Min Zhang
Summary: The experiments focus on the hybrid quantum system of a superconducting microwave cavity strongly coupled to an inhomogeneous broadening spin ensemble, using the exact master equation theory to study its non-Markovian decoherence dynamics under external driving fields. The theory generalizes the fluctuation-dissipation relation and describes in detail the transient non-Markovian decoherence, showing how the decoherence induced by the inhomogeneous broadening of the spin ensemble can be suppressed in the strong-coupling regime. This study also explores the relationships between quantum fluctuations and quantum memory through two-time correlations.
Article
Chemistry, Physical
Nathan Ng, David T. Limmer, Eran Rabani
Summary: When deriving exact generalized master equations for a reduced set of degrees of freedom, one can choose relevant quantities by specifying projection operators or utilizing conservation laws. The resulting dynamics differ depending on whether projection is done onto a single observable or followed by the application of a constraint. Different memory kernels must satisfy specific relationships to yield the same dynamics.
JOURNAL OF CHEMICAL PHYSICS
(2021)
Article
Automation & Control Systems
Zhaolu Tian, Xukuan Li, Tongyang Xu, Zhongyun Liu
Summary: In this paper, a relaxed MSIO iteration method is proposed for solving the Sylvester matrix equation and coupled Lyapunov matrix equations in discrete-time jump linear systems with Markovian transitions. Accelerated convergence algorithms are presented to improve the convergence rate of the relaxed MSIO iteration method for solving CLMEs.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Nickolay Korabel, Hamed Al Shamsi, Alexey O. Ivanov, Sergei Fedotov
Summary: This paper develops a non-Markovian persistent random walk model to study the characteristics of intracellular transport. The results show that the rest times play an important role in the persistence of random walks in the cell.
FRACTAL AND FRACTIONAL
(2023)
Article
Physics, Multidisciplinary
Francesco Carnazza, Federico Carollo, Dominik Zietlow, Sabine Andergassen, Georg Martius, Igor Lesanovsky
Summary: In the study of many-body quantum systems, it is often sufficient to consider the dynamical or stationary properties of local observables. By formulating the problem of finding the generator of the subsystem dynamics as a variational problem and using machine learning techniques, we are able to learn a physically consistent open quantum time-evolution and predict the stationary state of the subsystem dynamics.
NEW JOURNAL OF PHYSICS
(2022)
Article
Chemistry, Physical
Clemens Vittmann, R. Kevin Kessing, James Lim, Susana F. Huelga, Martin B. Plenio
Summary: This study investigates the nonequilibrium dynamics of electron transmission from a straight waveguide to a helix with spin-orbit coupling. Transmission is found to be spin-selective, leading to large spin polarizations of the itinerant electrons. The degree of spin selectivity depends on the width of the interface region, and no polarization is observed for single-point couplings. The study identifies interface structure and conservation of momentum as crucial factors for chiral-induced spin selectivity, and confirms the robustness of this mechanism against static disorder.
JOURNAL OF PHYSICAL CHEMISTRY LETTERS
(2022)
Article
Physics, Multidisciplinary
Eldad Bettelheim, Aditya Banerjee, Martin B. Plenio, Susana F. Huelga
Summary: The statistical mechanics characterization of finite subsystems embedded in an infinite system is a fundamental question in quantum physics. In this study, a mathematical framework based on the Riemann-Hilbert approach is developed to address this problem in the one-dimensional case, where the finite system consists of two disjoint intervals and is analyzed in the thermodynamic limit. The method is demonstrated to be useful for computing the change in the entanglement and negativity spectra, providing insights into the quantum correlation structure and extent in fermionic systems subject to local environments.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Astronomy & Astrophysics
Kirill Streltsov, Julen Simon Pedernales, Martin Bodo Plenio
Summary: In this study, we investigate the interaction between a harmonic oscillator and a two-level test mass mediated by a local operations and classical communication channel. We demonstrate that a signature, claimed to be exclusive to channels that can transmit quantum information, is generated. By providing an explicit example based on a measurement-and-feedback channel, we explain the failure of the previous proof and discuss the potential applications of setups of this type in testing the nature of gravitational interaction and the fundamental implications an LOCC model of gravity may have in black hole physics.
Article
Physics, Multidisciplinary
Julen S. Pedernales, Kirill Streltsov, Martin B. Plenio
Summary: Feynman suggested in 1957 that the quantum or classical nature of gravity can be evaluated through testing the gravitational interaction of source masses in superposition. However, the weakness of this interaction in proposed matter-wave interferometry experiments requires special initial states. This study tackles the challenge by using a massive body as an amplifying mediator, resulting in a stronger and independent interaction between test systems.
PHYSICAL REVIEW LETTERS
(2022)
Article
Multidisciplinary Sciences
F. Caycedo-Soler, A. Mattioni, J. Lim, T. Renger, S. F. Huelga, M. B. Plenio
Summary: Numerically exact simulations reveal that multimode vibronic mixing in model photosynthetic systems strongly affects optical responses and facilitates coherent dynamics. The generation, transport, and trapping of excitons in pigment-protein complexes (PPCs) are crucial for photosynthesis. The inclusion of full multi-mode vibronic dynamics in numerical calculations of linear spectra leads to significant corrections to electronic parameter estimation. These effects are relevant to the discussion on the origin of long-lived oscillations in multidimensional nonlinear spectra.
NATURE COMMUNICATIONS
(2022)
Article
Chemistry, Multidisciplinary
Yingke Wu, Priyadharshini Balasubramanian, Zhenyu Wang, Jaime A. S. Coelho, Mateja Prslja, Reiner Siebert, Martin B. Plenio, Fedor Jelezko, Tanja Weil
Summary: This study demonstrates the use of sub-10 nm-sized fluorescent nanodiamonds as catalysts for the decomposition of H2O2 and the production of radical intermediates at the nanoscale. The nitrogen-vacancy quantum sensors inside the nanodiamonds are employed to quantify these radicals. This method can be used as self-reporting H2O2 sensors with molecular-level sensitivity and nanoscale spatial resolution.
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY
(2022)
Article
Physics, Mathematical
Giovanni Ferrari, Ludovico Lami, Thomas Theurer, Martin B. Plenio
Summary: In this study, we examine asymptotic state transformations in continuous variable quantum resource theories. We prove that lower semicontinuity and strong superadditivity can be used to bound asymptotic transformation rates in these settings. We provide applications to optical nonclassicality, entanglement, and quantum thermodynamics resource theories. Our findings offer computable upper bounds for asymptotic transformation rates, including those achievable with linear optical elements.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Chemistry, Physical
Clemens Vittmann, James Lim, Dario Tamascelli, Susana F. Huelga, Martin B. Plenio
Summary: This study examines the role of delocalized phonon modes in electron transport in chiral structures and demonstrates that spin selectivity can originate from spin-dependent energy and momentum conservation in electron-phonon scattering events. The degree of spin polarization, however, depends on environmental factors and the presence of external driving fields. The parametric dependence allows for experimentally testable predictions of the model.
JOURNAL OF PHYSICAL CHEMISTRY LETTERS
(2023)
Article
Physics, Multidisciplinary
Patrick Barthel, Patrick H. Huber, Jorge Casanova, Inigo Arrazola, Dorna Niroomand, Theeraphot Sriarunothai, Martin B. Plenio, Christof Wunderlich
Summary: We demonstrate the experimental implementation of a two-qubit phase gate using a radio frequency controlled trapped-ion quantum processor. The gate is generated by applying a pulsed dynamical decoupling sequence to the ions' carrier transitions, allowing for tunable and high-fidelity phase shift. The gate's performance is robust against various sources of error and holds potential for fast gate speeds.
NEW JOURNAL OF PHYSICS
(2023)
Article
Physics, Multidisciplinary
Alejandro D. Somoza, Nicola Lorenzoni, James Lim, Susana F. Huelga, Martin B. Plenio
Summary: The role of vibrational motion in the charge dynamics of donor-acceptor networks in organic photovoltaics is investigated using non-perturbative simulations. The study addresses the challenge of simulating large electronic-vibrational systems and identifies conditions under which underdamped vibrational motion induces efficient charge separation. The results provide insights into coupling mechanisms and the role of entropic effects, offering a toolbox for designing efficient charge separation pathways in artificial nanostructures.
COMMUNICATIONS PHYSICS
(2023)
Article
Mathematics, Applied
Angel Rivas
Summary: The research demonstrates that the definitions based on the absence of information backflow and positive divisibility are not equivalent for general noninvertible dynamical maps.
OPEN SYSTEMS & INFORMATION DYNAMICS
(2022)
Article
Physics, Multidisciplinary
Alastair Marshall, Thomas Reisser, Phila Rembold, Christoph Mueller, Jochen Scheuer, Martin Gierse, Tim Eichhorn, Jakob M. Steiner, Patrick Hautle, Tommaso Calarco, Fedor Jelezko, Martin B. Plenio, Simone Montangero, Ilai Schwartz, Matthias M. Mueller, Philipp Neumann
Summary: This paper utilizes photoexcited triplet state of pentacene-doped naphthalene crystals to polarize surrounding protons and enhance nuclear magnetic resonance signals. Optimal control pulses designed with REDCRAB and a strategy called ARISE are introduced to improve the performance of hyperpolarization sequences.
PHYSICAL REVIEW RESEARCH
(2022)
Article
Optics
Julen S. Pedernales, Martin B. Plenio
Summary: This study designs a method that utilizes spatial correlations to reduce the impact of perturbations from distant sources on the visibility of matter-wave interference patterns, and develops a general framework for correcting the multipole expansion of environmental potential fields. This method works for stochastic field fluctuations at any timescale and does not require quantum correlations.
Article
Quantum Science & Technology
Theodoros Ilias, Dayou Yang, Susana F. Huelga, Martin B. Plenio
Summary: This study proposes a protocol for criticality-enhanced sensing by continuously observing the emitted radiation quanta. The study establishes a scaling theory for the global quantum Fisher information and derives universal scaling laws related to critical exponents. The findings suggest that the precision scaling of continuous detection of emitted quanta exceeds that of direct measurement, indicating the metrological value of this approach in dissipative criticality.
Article
Optics
Giovanni Spaventa, Susana F. Huelga, Martin B. Plenio
Summary: This study combines the concepts of quantum resource theory and divisibility classes of quantum channels to prove that memory effects can increase the efficiency of photoisomerization, which is not achievable under purely thermal Markovian evolution. This provides rigorous evidence that memory effects can serve as a resource in quantum thermodynamics at the nanoscale.
