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Domain walls in type I degenerate optical parametric oscillators are numerically investigated. Both steady Ising and moving Bloch walls are found, bifurcating one into another through a nonequilibrium Ising--Bloch transition. Bloch walls…

Pattern Formation and Solitons · Physics 2009-11-10 Isabel Perez-Arjona , Fernando Silva , German J. de Valcarcel , Eugenio Roldan , Victor J. Sanchez-Morcillo

As a result of the quantum, wave-like nature of the physical world, a harmonic oscillator can never be completely at rest. Even in the quantum ground state, its position will always have fluctuations, called the zero-point motion. Although…

Quantum Physics · Physics 2016-01-21 E. E. Wollman , C. U. Lei , A. J. Weinstein , J. Suh , A. Kronwald , F. Marquardt , A. A. Clerk , K. C. Schwab

The escape rate \Gamma of the large-spin model described by the Hamiltonian H = -DS_z^2 - H_zS_z - H_xS_x is investigated with the help of the mapping onto a particle moving in a double-well potential U(x). The transition-state method…

Statistical Mechanics · Physics 2009-10-31 D. A. Garanin , X. Martinez Hidalgo , E. M. Chudnovsky

We consider a quantum point contact between two Luttinger liquids coupled to a mechanical system (oscillator). For non-vanishing bias, we find an effective oscillator temperature that depends on the Luttinger parameter. A generalized…

Strongly Correlated Electrons · Physics 2009-11-07 M. B. Hastings , I. Martin , D. Mozyrsky

We study a periodically driven qubit coupled to a quantized cavity mode. Despite its apparent simplicity, this system supports a rich variety of exotic phenomena, such as topological frequency conversion as recently discovered in [Martin et…

Mesoscale and Nanoscale Physics · Physics 2021-01-07 Frederik Nathan , Gil Refael , Mark S. Rudner , Ivar Martin

Stochastic oscillators based on emerging nanodevices are attractive because of their ultra-low power requirement and ability to exhibit stochastic resonance, a phenomenon where synchronization to weak input signals is enabled due to ambient…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Punyashloka Debashis , Aman K. Maskay , Pramey Upadhyaya , Zhihong Chen

We consider zero-temperature, stochastic Ising models with nearest-neighbor interactions in two and three dimensions. Using both symmetric and asymmetric initial configurations, we study the evolution of the system with time. We examine the…

Statistical Mechanics · Physics 2009-11-10 Palani Sundaramurthy , D. L. Stein

We calculate transition amplitudes and probabilities between the coherent and Fock states of a quantum harmonic oscillator with a moving center for an arbitrary law of motion. These quantities are determined by the Fourier transform of the…

Quantum Physics · Physics 2021-01-14 Viktor V. Dodonov

We discuss the nonlinear phenomena of irreversible tipping for non-autonomous systems where time-varying inputs correspond to a smooth "parameter shift" from one asymptotic value to another. We express tipping in terms of pullback…

Dynamical Systems · Mathematics 2018-04-24 Peter Ashwin , Clare Perryman , Sebastian Wieczorek

The effect of a temporal modulation at three times the critical frequency on a Hopf bifurcation is studied in the framework of amplitude equations. We consider a complex Ginzburg-Landau equation with an extra quadratic term, resulting from…

Pattern Formation and Solitons · Physics 2009-11-07 Rafael Gallego , Daniel Walgraef , Maxi San Miguel , Raul Toral

We investigate quantum phase transitions in ladders of spin 1/2 particles by engineering suitable matrix product states for these ladders. We take into account both discrete and continuous symmetries and provide general classes of such…

Quantum Physics · Physics 2009-11-13 M. Asoudeh , V. Karimipour , A. Sadrolashrafi

Parametrically modulated optomechanical systems have been recently proposed as a simple and efficient setting for the quantum control of a micromechanical oscillator: relevant possibilities include the generation of squeezing in the…

Quantum Physics · Physics 2012-07-18 Alessandro Farace , Vittorio GIovannetti

We use cold plasma theory to calculate the response of an ultracold neutral plasma to an applied rf field. The free oscillation of the system has a continuous spectrum and an associated damped quasimode. We show that this quasimode…

Plasma Physics · Physics 2009-11-07 S. D. Bergeson , R. L. Spencer

We construct two spin models on lattices (both two and three-dimensional) to study the capability of quantum computational power as a function of temperature and the system parameter. There exists a finite region in the phase diagram such…

Quantum Physics · Physics 2014-05-19 Tzu-Chieh Wei , Ying Li , Leong Chuan Kwek

Quantum harmonic oscillators are central to many modern quantum technologies. We introduce a method to determine the frequency noise spectrum of oscillator modes through coupling them to a qubit with continuously driven…

In this work, we experimentally investigate the dynamics of pairs of opto-thermally driven, mechanically coupled, doubly clamped, silicon micromechanical oscillators, and numerically investigate the dynamics of the corresponding…

Pattern Formation and Solitons · Physics 2022-05-04 Aditya Bhaskar , Mark Walth , Richard H. Rand , Alan T. Zehnder

The paper explores a previously unknown connection relating the symmetry properties of an oscillator steady-state to the orthogonal representation of amplitude and phase variables in the small-signal regime. It is shown that only circuits…

Systems and Control · Electrical Eng. & Systems 2022-06-07 Torsten Djurhuus , Viktor Krozer

A model of an electrical point contact coupled to a mechanical system (oscillator) is studied to simulate the dephasing effect of measurement on a quantum system. The problem is solved at zero temperature under conditions of strong…

Condensed Matter · Physics 2015-06-24 D. Mozyrsky , I. Martin

A quantum system can undergo a continuous phase transition at the absolute zero of temperature as some parameter entering its Hamiltonian is varied. These transitions are particularly interesting for, in contrast to their classical finite…

Condensed Matter · Physics 2009-10-28 S. L. Sondhi , S. M. Girvin , J. P. Carini , D. Shahar

We show that optomechanical systems in the quantum regime can be used to demonstrate EPR-type quantum entanglement between the optical field and the mechanical oscillator, via quantum-state steering. Namely, the conditional quantum state of…

Quantum Physics · Physics 2012-11-20 Helge Mueller-Ebhardt , Haixing Miao , Stefan Danilishin , Yanbei Chen