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This work considers the confining and scattering phenomena of electrons in a Lieb lattice subjected to the influence of a rectangular electrostatic barrier. In this setup, hopping amplitudes between nearest neighbors in orthogonal…

Mesoscale and Nanoscale Physics · Physics 2023-05-24 Vít Jakubský , Kevin Zelaya

Recent advances in emergent geometry have identified a new class of models that represent spacetime as the graph obtained as the ground state of interacting Ising spins. These models have many desirable features, including stable…

High Energy Physics - Theory · Physics 2021-06-08 Philip Tee

The Lieb-Robinson correlation function is the norm of a commutator between local operators acting on separate subsystems at different times. This provides a useful state-independent measure for characterizing the specifically quantum…

Quantum Physics · Physics 2024-06-25 Brendan J. Mahoney , Craig S. Lent

We apply algorithms based on Lieb-Robinson bounds to simulate time-dependent and thermal quantities in quantum systems. For time-dependent systems, we modify a previous mapping to quantum circuits to significantly reduce the computer…

Quantum Physics · Physics 2009-11-13 M. B. Hastings

In most communication schemes information is transmitted via travelling modes of electromagnetic radiation. These modes are unavoidably subject to environmental noise along any physical transmission medium and the quality of the…

Quantum Physics · Physics 2015-05-11 Giacomo De Palma , Andrea Mari , Vittorio Giovannetti

The last decade has witnessed substantial interest in protocols for transferring information on networks of quantum mechanical objects. A variety of control methods and network topologies have been proposed, on the basis that transfer with…

Quantum Physics · Physics 2012-08-14 Chris Godsil , Stephen Kirkland , Simone Severini , Jamie Smith

Microscopic coupling between the electron spin and the lattice vibration is responsible for an array of exotic properties from morphic effects in simple magnets to magnetodielectric coupling in multiferroic spinels and hematites.…

Materials Science · Physics 2022-07-22 Mingqiang Gu , Y. H. Bai , G. P. Zhang , Thomas F. George

The loss of coherence in quantum mechanical superposition states limits the time for which quantum information remains useful. Similarly, it limits the distance over which quantum information can be transmitted, resembling Anderson…

Quantum Physics · Physics 2010-06-11 Gonzalo A. Alvarez , Dieter Suter

Electron transport in a finite one dimensional quantum spin chain (with ferromagnetic exchange) is studied within an $s-d$ exchange Hamiltonian. Spin transfer coefficients strongly depend on the sign of the $s-d$ exchange constant. For a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. Avishai , Y. Tokura

Motivated by recent experiments with ultra-cold matter, we derive a new bound on the propagation of information in $D$-dimensional lattice models exhibiting $1/r^{\alpha}$ interactions with $\alpha>D$. The bound contains two terms: One…

Quantum Physics · Physics 2015-10-06 Zhe-Xuan Gong , Michael Foss-Feig , Spyridon Michalakis , Alexey V. Gorshkov

Quantum many-body systems exhibit an extremely diverse range of phases and physical phenomena. Here, we prove that the entire physics of any other quantum many-body system is replicated in certain simple, "universal" spin-lattice models. We…

Quantum Physics · Physics 2019-10-07 Toby Cubitt , Ashley Montanaro , Stephen Piddock

Conformal field theory has turned out to be a powerful tool to derive interesting lattice models with analytical ground states. Here, we investigate a class of critical, one-dimensional lattice models of fermions and hardcore bosons related…

Quantum Physics · Physics 2019-06-28 Dillip K. Nandy , N. S. Srivatsa , Anne E. B. Nielsen

A physical system is said to satisfy a thermal area law if the mutual information between two adjacent regions in the Gibbs state is controlled by the area of their boundary. Thermal area laws have been derived for systems with bounded…

Quantum Physics · Physics 2023-08-16 Marius Lemm , Oliver Siebert

Quantum information transfer is an important part of quantum information processing. Several proposals for quantum information transfer along linear arrays of nearest-neighbor coupled qubits or spins were made recently. Perfect transfer was…

Quantum Physics · Physics 2007-05-23 Peter Karbach , Joachim Stolze

As an unusual type of anomalous diffusion behavior, (transient) superballistic transport is not well understood but it has been experimentally observed recently. We here calculate the white noise effect (in Markov approximation) on the…

Quantum Physics · Physics 2017-03-08 E. Gholami , Z. Mohammaddost-Lashkami

Bloch oscillations (BOs), i.e. the oscillatory motion of a quantum particle in a periodic potential, are one of the most striking effects of coherent quantum transport in the matter. In the semiclassical picture, it is well known that BOs…

Quantum Physics · Physics 2016-01-15 Stefano Longhi

Since Bell's theorem, it is known that quantum correlations cannot be described by local variables (LV) alone: if one does not want to abandon classical mechanisms for correlations, a superluminal form of communication among the particles…

Quantum Physics · Physics 2007-05-23 Valerio Scarani , Nicolas Gisin

The explanation of heavy-fermion superconductivity is a long-standing challenge to theory. It is commonly thought to be connected to non-local fluctuations of either spin or charge degrees of freedom and therefore of unconventional type.…

Strongly Correlated Electrons · Physics 2013-04-15 Oliver Bodensiek , Rok Zitko , Matthias Vojta , Mark Jarrell , Thomas Pruschke

Kinetic constraints are generally expected to slow down dynamics in many-body systems, obstructing or even completely suppressing transport of conserved charges. Here, we show how gauge theories can defy this wisdom by yielding constrained…

We classify phases of a bosonic lattice model based on the computational complexity of classically simulating the system. We show that the system transitions from being classically simulable to classically hard to simulate as it evolves in…