Top Research Papers on Quantum Mechanics

This textbook, now in an expanded third edition, emphasizes the importance of advanced quantum mechanics for materials science and all experimental techniques which employ photon absorption, emission, or scattering. Important aspects of introductory quantum mechanics are covered in the first seven chapters to make the subject self-contained and accessible for a wide audience. Advanced Quantum Mechanics: Materials and Photons can therefore be used for advanced undergraduate courses and introductory graduate courses which are targeted towards students with diverse academic backgrounds from the N...

Modern Quantum Mechanics is a classic graduate level textbook, covering the main concepts from quantum mechanics in a clear, organized and engaging manner. The original author, J. J. Sakurai, was a renowned particle theorist. This third edition, revised by Jim Napolitano, introduces topics that extend its value into the twenty-first century, such as modern mathematical techniques for advanced quantum mechanical calculations, while at the same time retaining fundamental topics such as neutron interferometer experiments, Feynman path integrals, correlation measurements, and Bell's inequalities. ...

There are many coursebooks on quantum mechanics on the market, written with different types of reader in mind. Despite a misleading comment on its back cover, the present book is not an introductor...

Quantum mechanics is one of the principle pillars of modern physics. It also remains a topic of great interest to mathematicians. Since its discovery it has inspired and been inspired by many topics within modern mathematics, including functional analysis and operator algebras, Lie groups, Lie algebras and their representations, principle bundles, distribution theory, and much more. Written with beginning graduate students in mathematics in mind, this book provides a thorough treatment of (nonrelativistic) quantum mechanics in a style that is leisurely, without the usual theorem-proof grammar ...

Part 1 Origins of quantum theory: the Compton effect the Stern-Gerlach experiment De Broglie's hypothesis. Part 2 The wave function and the Heisenberg uncertainty principle. Part 3 The Schrodinger equation and the Ehrenfest theorem. Part 4 One-dimensional examples. Part 5 The formalism of quantum mechanics. Part 6 Angular momentum. Part 7 The Schrodinger equation in three dimensions. Part 8 Approximation methods for stationary problems. Part 9 Approximation methods for time-dependent problems. Part 10 Several and many particle systems. Part 11 The interaction of quantum systems with radiation....

This remarkable textbook offers the reader a conceptually strong introduction to quantum mechanics. Discover the extensively revised and enhanced edition

It is shown how it is possible to measure an oscillator without quantum back-action of the measurement by constructing one effective oscillator from two physical oscillators by realizes such a quantum mechanics–free subsystem using two micromechanical oscillators, and shows the measurements of two collective quadratures while evading the quantumBack-action on both of them.

Quantum field theory in zero spatial dimensions has a rich infrared landscape and a universal ultraviolet, inverting the usual Wilsonian paradigm. For holographic theories this implies a rich landscape of asymptotically ${\mathrm{AdS}}_{2}$ geometries. Isolating the interiors of these spacetimes suggests a study of the analog of the $T\overline{T}$ deformation in quantum mechanics, which we pursue here. An equivalent description of this deformation in terms of coupling to worldline gravity is proposed, and applications to quantum-mechanical systems---including the Schwarzian theory---are studi...

We propose a new diagnostic for quantum chaos. We show that time evolution of\ncomplexity for a particular type of target state can provide equivalent\ninformation about the classical Lyapunov exponent and scrambling time as\nout-of-time-order correlators. Moreover, for systems that can be switched from\na regular to unstable (chaotic) regime by a tuning of the coupling constant of\nthe interaction Hamiltonian, we find that the complexity defines a new time\nscale. We interpret this time scale as recording when the system makes the\ntransition from regular to chaotic behaviour.\n

The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include: many-body systems, modern perturbation theory, path integrals, the theory of...

We study stabilizer quantum error correcting codes (QECC) generated under\nhybrid dynamics of local Clifford unitaries and local Pauli measurements in one\ndimension. Building upon 1) a general formula relating the error-susceptibility\nof a subregion to its entanglement properties, and 2) a previously established\nmapping between entanglement entropies and domain wall free energies of an\nunderlying spin model, we propose a statistical mechanical description of the\nQECC in terms of "entanglement domain walls". Free energies of such domain\nwalls generically feature a leading volume law term ...

Abstract Numerous astrophysical and cosmological observations are best explained by the existence of dark matter, a mass density which interacts only very weakly with visible, baryonic matter. Searching for the extremely weak signals produced by this dark matter strongly motivate the development of new, ultra-sensitive detector technologies. Paradigmatic advances in the control and readout of massive mechanical systems, in both the classical and quantum regimes, have enabled unprecedented levels of sensitivity. In this white paper, we outline recent ideas in the potential use of a range of sol...

Precisely engineered mechanical oscillators keep time, filter signals and sense motion, making them an indispensable part of the technological landscape of today. These unique capabilities motivate bringing mechanical devices into the quantum domain by interfacing them with engineered quantum circuits. Proposals to combine microwave-frequency mechanical resonators with superconducting devices suggest the possibility of powerful quantum acoustic processors 1-3 . Meanwhile, experiments in several mechanical systems have demonstrated quantum state control and readout 4,5 , phonon number resolutio...

The open-access QMugs (Quantum-Mechanical Properties of Drug-like Molecules) dataset is intended to facilitate the development of models that learn from molecular data on different levels of theory while also providing insight into the corresponding relationships between molecular structure and biological activity.

Abstract Hybrid quantum systems are essential for the realization of distributed quantum networks. In particular, piezo-mechanics operating at typical superconducting qubit frequencies features low thermal excitations, and offers an appealing platform to bridge superconducting quantum processors and optical telecommunication channels. However, integrating superconducting and optomechanical elements at cryogenic temperatures with sufficiently strong interactions remains a tremendous challenge. Here, we report an integrated superconducting cavity piezo-optomechanical platform where 10 GHz phonon...

Tunneling is always present but often hidden underneath thermal reactivity. It plays out at low temperatures and can then significantly affect reactivity and selectivity of a chemical reaction. While common for light atoms, in particular, hydrogen, tunneling also occurs for heavier elements when energy barriers are low and narrow, the latter factor being more important. Tunneling control of chemical reactions constitutes, next to kinetic and thermodynamic control, the third paradigm of chemical reactivity. Quantum mechanical tunneling is a consequence of the wave nature of particles that impli...

This work identifies the transition as well as the nontrivial steady state that emerges at late times in the mixed phase using exact diagonalization and an approximate, analytically tractable mean-field theory; these methods yield consistent conclusions.

A recently developed quantum mechanical grand canonical potential kinetics method is applied to predict reaction mechanisms and rates for CO2 reduction at different sites of graphene-supported Ni-SACs to determine faradic efficiency, turn over frequency, and Tafel slope for CO and H2 production for all three sites.

The statistical mechanical description of small systems staying in thermal\nequilibrium with an environment can be achieved by means of the Hamiltonian of\nmean force. In contrast to the reduced density matrix of an open quantum\nsystem, or the reduced phase-space probability density function of a classical\nopen system, the Hamiltonian of mean force not only characterizes the reduced\nstate but also contains full information about the thermodynamics of the\nconsidered open system. The resulting thermodynamic potentials all assume the\nform as the difference of the potentials for the total sys...

Pyrolysis of lignocellulose biomass to produce various fuels and chemicals has gained increasing interest in recent decades. An in-depth understanding of the biomass pyrolysis reaction mechanisms is essential for the advancement of pyrolysis techniques. Quantum chemistry (QC) modeling is a powerful approach for the pyrolysis mechanism investigation at the atomic/molecular level. Despite a short history of only about 2 decades, its application to the biomass pyrolysis mechanism exploration has been well-developed, along with the fast advances of supercomputer and computational codes in the new ...