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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

We develop here the method for obtaining approximate stability boundaries in the space of parameters for systems with parametric excitation. The monodromy (Floquet) matrix of linearized system is found by averaging method. For system with 2…

Dynamical Systems · Mathematics 2019-12-24 Anton O. Belyakov , Alexander P. Seyranian

We derive a family of stochastic master equations describing homodyne measurement of multi-qubit diagonal observables in circuit quantum electrodynamics. In the regime where qubit decay can be neglected, our approach replaces the…

Quantum Physics · Physics 2017-07-25 Ben Criger , Alessandro Ciani , David P. DiVincenzo

We explore prethermal Floquet steady states and instabilities of the weakly interacting two-dimensional Bose-Hubbard model subject to periodic driving. We develop a description of the nonequilibrium dynamics, at arbitrary drive strength and…

Quantum Gases · Physics 2015-11-17 Marin Bukov , Sarang Gopalakrishnan , Michael Knap , Eugene Demler

We study the quantum version of a tilting and flashing Hamiltonian ratchets, consisting of a periodic potential and a time-periodic driving field. The system dynamics is governed by a Floquet evolution matrix bearing the symmetry of the…

Quantum Physics · Physics 2009-11-13 S. Denisov , L. Morales-Molina , S. Flach , P. Hanggi

Quantum computing's potential is immense, promising super-polynomial reductions in execution time, energy use, and memory requirements compared to classical computers. This technology has the power to revolutionize scientific applications…

Quantum Physics · Physics 2024-05-01 Samudra Dasgupta

Perturbation theories provide valuable insights on quantum many-body systems. Systems of interacting particles, like electrons, are often treated perturbatively around exactly solvable Gaussian points. Systems of interacting qubits have…

Quantum Physics · Physics 2025-09-17 Xuzhe Ying , Kangle Li , Hoi Chun Po

For inductively coupled superconducting quantum bits, we determine the conditions when the coupling commutes with the single-qubit terms. We show that in certain parameter regimes such longitudinal coupling can be stabilized with respect to…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Carsten Hutter , Yuriy Makhlin , Alexander Shnirman , Gerd Schön

Flux-tunable qubits are a useful resource for superconducting quantum processors. They can be used to perform cPhase gates, facilitate fast reset protocols, avoid qubit-frequency collisions in large processors, and enable certain fast…

The development of a framework for quantifying "non-stabiliserness" of quantum operations is motivated by the magic state model of fault-tolerant quantum computation, and by the need to estimate classical simulation cost for noisy…

Quantum Physics · Physics 2019-08-05 James R. Seddon , Earl T. Campbell

Multi-photon processes deteriorate the quantum non-demolition (QND) character of the dispersive readout in circuit QED, causing readout to lag behind single and two-qubit gates, in both speed and fidelity. Alternative methods such as the…

Quantum Physics · Physics 2026-01-06 Alex A. Chapple , Alexander McDonald , Manuel H. Muñoz-Arias , Alexandre Blais

Thermal microwave states are omnipresent noise sources in superconducting quantum circuits covering all relevant frequency regimes. We use them as a probe to identify three second-order decoherence mechanisms of a superconducting transmon.…

We present experiments on the driven dynamics of a two-level superconducting artificial atom. The driving strength reaches 4.78 GHz, significantly exceeding the transition frequency of 2.288 GHz. The observed dynamics is described in terms…

Quantum Physics · Physics 2015-10-09 Chunqing Deng , Jean-Luc Orgiazzi , Feiruo Shen , Sahel Ashhab , Adrian Lupascu

The transitory and stationary behavior of a quantum chaotic ratchet consisting of a biharmonic potential under the effect of different drivings in contact with a thermal environment is studied. For weak forcing and finite $\hbar$, we…

Quantum Physics · Physics 2013-01-31 Gabriel G. Carlo , Leonardo Ermann , F. Borondo , R. M. Benito

Superconducting qubits are among the most promising platforms for building a quantum computer. However, individual qubit coherence times are not far past the scalability threshold for quantum error correction, meaning that millions of…

Quantum Physics · Physics 2016-04-20 Eliot Kapit

The simulation of complex quantum many-body systems is a promising short-term goal of noisy intermediate-scale quantum (NISQ) devices. However, the limited connectivity of native qubits hinders the implementation of quantum algorithms that…

Quantum Physics · Physics 2024-05-07 Andrea Solfanelli , Stefano Ruffo , Sauro Succi , Nicolò Defenu

Ongoing experimental activity aims at calorimetric measurements of thermodynamic indicators of quantum integrated systems. We study a model of a driven qubit in contact with a finite-size thermal electron reservoir. The temperature of the…

Quantum Physics · Physics 2019-05-08 Brecht Donvil , Paolo Muratore-Ginanneschi , Jukka P. Pekola

We consider a class of parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and study the stability of the dynamics when the frequency of the forcing is relatively high or low. We show that, provided the…

Dynamical Systems · Mathematics 2017-03-07 M. Bartuccelli , G. Gentile , J. A. Wright

The stability of a horizontal interface between two viscous fluids, one of which is conducting and the other is dielectric, acted upon by a vertical time-periodic electric field is considered. The two fluids are bounded by electrodes…

Fluid Dynamics · Physics 2018-01-17 Aditya Bandopadhyay , Steffen Hardt

Recently, effects of nonlinearity on topologically nontrivial systems have attracted attention and the stability of topologically protected edge states has been studied for a quantum walk with nonlinear effects, which is akin to…

Quantum Physics · Physics 2020-05-29 Ken Mochizuki , Norio Kawakami , Hideaki Obuse