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We consider the Schrodinger equation with an external potential and a cubic nonlinearity, in the semiclassical limit. The initial data are sums of WKB states, with smooth phases and smooth, compactly supported initial amplitudes, with…

偏微分方程分析 · 数学 2025-07-23 Remi Carles

We control transition frequency of a superconducting flux qubit coupled to a frequency-tunable resonator comprising a direct current superconducting quantum interference device (dc-SQUID) by microwave driving. The dc-SQUID mediates the…

量子物理 · 物理学 2020-09-08 Hiraku Toida , Takuya Ohrai , Yuichiro Matsuzaki , Kosuke Kakuyanagi , Shiro Saito

We implement a broadly tunable phase shifter for microwaves based on superconducting quantum interference devices (SQUIDs) and study it both experimentally and theoretically. At different frequencies, a unit transmission coefficient,…

The studied model describes a particle that obeys a one-dimensional nonlinear Schr\"odinger equation in the potential of a double-well. Transitions between the two lowest self-trapped states of this system under the influence of the…

量子物理 · 物理学 2007-05-23 P. V. Elyutin , A. N. Rogovenko

We report measurements of coherence times of an rf SQUID qubit using pulsed microwaves and rapid flux pulses. The modified rf SQUID, described by an double-well potential, has independent, in situ, controls for the tilt and barrier height…

The current-voltage characteristics of Superconducting Quantum Interference Devices (SQUIDs) are known to modulate as a function of applied magnetic field with a period of one flux quantum $\Phi_0=h$/2e. Here we report on the fabrication…

超导电性 · 物理学 2007-05-23 C. W. Schneider , G. Hammerl , G. Logvenov , T. Kopp , J. R. Kirtley , P. J. Hirschfeld , J. Mannhart

We study rotating squeezed quantum states created by a parametric resonance in an open harmonic system. As a specific realization of the phenomenon we study a mesoscopic SQUID loop where the state preparation procedure is simple in…

介观与纳米尺度物理 · 物理学 2007-05-23 T. Ojanen , J. Salo

A known limitation of time-dependent mean-field approaches is a lack of quantum tunneling for collective motions such as in sub-barrier fusion reactions. As a first step toward a solution, a time-dependent model is considered using a…

核理论 · 物理学 2022-02-01 Akira Ono

The dynamical behavior of a superconducting quantum interference device (a rf-SQUID) irradiated by a single mode quantized electromagnetic field is theoretically investigated. Treating the SQUID as a flux qubit, we analyze the dynamics of…

凝聚态物理 · 物理学 2009-11-07 R. Migliore , A. Messina

Scattering from a compound barrier, one composed of a number of distinct non-overlapping sub-barriers, has a number of interesting and subtle mathematical features. If one is scattering classical particles, where the wave aspects of the…

数学物理 · 物理学 2012-02-23 Petarpa Boonserm , Matt Visser

We analyze several mechanisms leading to errors in a course of measurement of a superconducting flux-biased phase qubit. Insufficiently long measurement pulse may lead to nonadiabatic transitions between qubit states $|1>$ and $|0>$, before…

超导电性 · 物理学 2015-06-25 Qin Zhang , Abraham G. Kofman , John M. Martinis , Alexander N. Korotkov

In this paper we consider the modelling and simulation of open quantum systems from a device engineering perspective. We derive master equations at different levels of approximation for a Superconducting Quantum Interference Device (SQUID)…

The induced polarization oscillations in a one-dimensional rectangular quantum well are modeled by a numerical solution of the time-dependent Schroedinger equation. The finite-difference discretization over time is realized in the framework…

介观与纳米尺度物理 · 物理学 2023-04-25 Pavel Belov , Rostislav Arkhipov

In the framework of quantum electrodynamics (QED) in external potentials, we introduce a method to compute the time-dependence of the expectation value of the current density for time-dependent homogeneous external electric fields. We apply…

高能物理 - 理论 · 物理学 2015-10-29 Jochen Zahn

Parametric modulation, valued for its versatility, is widely employed in superconducting circuits for quantum simulations and high-fidelity two-qubit gates. Conventionally, the qubit coupling strength is determined by the amplitude of the…

量子物理 · 物理学 2025-11-25 Zhuang Ma , Xianke Li , Hongyi Shi , Ruonan Guo , Jianwen Xu , Xinsheng Tan , Yang Yu

We present a measurement protocol for a flux qubit coupled to a dc-Superconducting QUantum Interference Device (SQUID), representative of any two-state system with a controllable coupling to an harmonic oscillator quadrature, which consists…

介观与纳米尺度物理 · 物理学 2008-08-18 I. Serban , B. L. T. Plourde , F. K. Wilhelm

Quantum theory of self-phase and cross-phase modulation of ultrashort light pulses in the Kerr medium is developed with taking into account the response time of an electronic nonlinearity. The correspondent algebra of time-dependent…

量子物理 · 物理学 2007-05-23 F. Popescu , A. S. Chirkin

We introduce a binary, relaxed gradient, trust-region method for optimizing pulse sequences for single flux quanta (SFQ) control of a quantum computer. The pulse sequences are optimized with the goal of realizing unitary gate…

量子物理 · 物理学 2022-08-24 Ryan H. Vogt , N. Anders Petersson

Quantum optimal control theory (QOCT) can be used to design the shape of electromagnetic pulses that implement operations on quantum devices. By using non-trivially shaped waveforms, gates can be made significantly faster than those built…

量子物理 · 物理学 2026-02-27 Alonso Hernández-Antón , Fernando Luis , Alberto Castro

A pulse of matter waves may dramatically change its shape when traversing an absorbing barrier with time-dependent transparency. Here we show that this effect can be utilized for controlled manipulation of spatially-localized quantum…

量子物理 · 物理学 2015-05-04 Arseni Goussev