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We develop a theory for non-degenerate parametric resonance in a tunable superconducting cavity. We focus on nonlinear effects that are caused by nonlinear Josephson elements connected to the cavity. We analyze parametric amplification in a…

Quantum Physics · Physics 2017-08-31 Waltraut Wustmann , Vitaly Shumeiko

In this paper, a delocalization-localization transition within the superconducting state is explored. The symmetries of the Bogoliubov deGennes Hamiltonian endow the two associated superconducting phases - the thermal metal and the thermal…

Superconductivity · Physics 2016-08-31 Smitha Vishveshwara , Matthew P. A. Fisher

Mott insulators provide stable quantum states and long coherence times to due to small number fluctuations, making them good candidates for quantum memory and atomic circuits. We propose a proof-of-principle for a 1D Mott switch using an…

Quantum Gases · Physics 2018-05-15 Marie A. McLain , Lincoln D. Carr

We consider a boundary between a Mott insulator and a superfluid region of a Bose-Hubbard model at unit filling. Initially both regions are decoupled and cooled to their respective ground states. We show that, after switching on a small…

Strongly Correlated Electrons · Physics 2008-02-20 Michael J. Hartmann , Martin B. Plenio

We analyze the Mott-insulator phases of dipolar bosonic gases placed in neighboring but unconnected 1D traps. Whereas for short-range interactions the 1D systems are independent, the non-local dipole-dipole interaction induces a direct…

Other Condensed Matter · Physics 2009-11-11 A. Arguelles , L. Santos

In one-dimensional quantum emitter systems, the dynamics of atomic excitations are influenced by the collective coupling between emitters through photon-mediated dipole-dipole interactions. By introducing positional disorders in a portion…

Quantum Physics · Physics 2024-02-14 C. -C. Wu , K. -T. Lin , I G. N. Y. Handayana , C. -H. Chien , S. Goswami , G. -D. Lin , Y. -C. Chen , H. H. Jen

We address how the nature of linearly dispersing edge states of two dimensional (2D) topological insulators evolves with increasing electron-electron correlation engendered by a Hubbard like on-site repulsion $U$ in finite ribbons of two…

Strongly Correlated Electrons · Physics 2012-06-26 Amal Medhi , Vijay B. Shenoy , H. R. Krishnamurthy

An array of superconducting proximity islands has been shown to be highly tunable by electric and magnetic fields. Indeed, a small change in the electric and magnetic field can tune the system from a vortex Mott insulator to a vortex metal.…

Superconductivity · Physics 2020-04-08 J. Rezvani , D. Di Gioacchino , C. Gatti , N. Poccia , C. Ligi , S. Tocci , M. Cestelli Guidi , S. Cibella , S. Lupi , A. Marcelli

The superfluid -- Mott insulator phase transition in a Bose-Einstein condensate of neutral atoms with doubly degenerate internal ground states in an optical lattice is theoretically investigated. The optical lattice is created by two…

Condensed Matter · Physics 2009-11-10 K. V. Krutitsky , R. Graham

We study the quantum phase transitions between superfluid and Mott insulator states for ultracold bosons occupying two bands of an optical lattice. The two atomic states are resonantly coupled by a single cavity mode which mediates…

Quantum Physics · Physics 2009-11-12 Hashem Zoubi , Helmut Ritsch

We study the superfluid to Mott insulator transition of bosons in a two-legged ladder optical lattice, of a type accessible in current experiments on double-well optical lattices. The zero-temperature phase diagram is mapped out, with a…

Other Condensed Matter · Physics 2009-11-13 Ippei Danshita , James E. Williams , Carlos A. R. Sa de Melo , Charles W. Clark

Abstract Interaction equations governing slow time evolution of the coordinates and phases of two interacting temporal cavity solitons in a delay differential equation model of a nonlinear mirror mode-locked laser are derived and analyzed.…

Optics · Physics 2022-04-27 Andrei G. Vladimirov

As photons do not interact with each other, it is interesting to ask whether photonic systems can be modified to exhibit the phases characteristic of strongly coupled many-body systems. We demonstrate how a Mott insulator type of phase of…

Quantum Physics · Physics 2007-09-30 Dimitris G. Angelakis , Marcelo F. Santos , Sougato Bose

We study the behaviour of the flux tube thickness in the vicinity of the deconfinement transition. We show, using effective string methods, that in this regime the square width increases linearly and not logarithmically with the interquark…

High Energy Physics - Lattice · Physics 2014-11-20 M. Caselle

We explore theoretically the nonequilibrium photonic phases of an array of coupled cavities in presence of incoherent driving and dissipation. In particular, we consider a Hubbard model system where each site is a Kerr nonlinear resonator…

We study the irreversible dynamics of nonlinear, nonintegrable Hamiltonian oscillator chains approaching their statistical asympotic states. In systems constrained by more than one conserved quantity, the partitioning of the conserved…

Pattern Formation and Solitons · Physics 2009-11-10 Benno Rumpf , Alan C. Newell

Although coupling to a super-Ohmic bosonic reservoir leads only to partial dephasing on short time scales, exponential decay of coherence appears in the Markovian limit (for long times) if anharmonicity of the reservoir is taken into…

Quantum Physics · Physics 2007-05-23 Paweł Machnikowski

Real materials always contain, to some extent, randomness in the form of defects or irregularities. It is known since the seminal work of Anderson that randomness can drive a metallic phase to an insulating one, and the mechanism…

When a system of spinless fermions in a disordered mesoscopic ring becomes instable between the inhomogeneous configuration driven by the random potential (Anderson insulator) and the homogeneous one driven by repulsive interactions (Mott…

Strongly Correlated Electrons · Physics 2009-10-31 Peter Schmitteckert , Rodolfo A. Jalabert , Dietmar Weinmann , Jean-Louis Pichard

We investigate the localization transition in fractionally charged electron wave packets, which is injected into a quantum conductor by a single voltage pulse with arbitrary flux quantum. We show that the transition is unidirectional for…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Y. Yin