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The resonant line shape from driving a transition between two states, $|\rm{a}\rangle$ and $|\rm{b}\rangle$, can be distorted due to a quantum-mechanical interference effect involving a resonance between two different states,…

Atomic Physics · Physics 2017-12-20 A. Marsman , M. Horbatsch , E. A. Hessels

We consider how to obtain a nontrivial two-qubit unitary transformation purely based on geometric phases of two spin-1/2's with Ising-like interaction in a magnetic field with a static z-component and a rotating xy-component. This is an…

Quantum Physics · Physics 2010-08-20 Yu Shi

The Berry phase acquired by an electromagnetic field undergoing an adiabatic and cyclic evolution in phase space is a purely quantum-mechanical effect of the field. However, this phase is usually accompanied by a dynamical contribution and…

Quantum Physics · Physics 2012-03-05 Shi-Biao Zheng

Global quenches of quantum many-body models can give rise to periodic dynamical quantum phase transitions (DQPTs) directly connected to the zeros of a Landau order parameter (OP). The associated dynamics has been argued to bear close…

Quantum Physics · Physics 2023-08-15 Maarten Van Damme , Jean-Yves Desaules , Zlatko Papić , Jad C. Halimeh

Quantum computing employs controllable interactions to perform sequences of logical gates and entire algorithms on quantum registers. This paradigm has been widely explored, e.g., for simulating dynamics of manybody systems by decomposing…

Quantum Physics · Physics 2025-05-21 S. Alipour , A. T. Rezakhani , Alireza Tavanfar , K. Mölmer , T. Ala-Nissila

We derive a modified master equation for the quantum Rabi model in the parameter regime where quantum criticality can occur. The modified master equation can avoid some unphysical predictions, such as excitations in the system at zero…

Quantum Physics · Physics 2024-11-07 Ye-Hong Chen , Zhi-Cheng Shi , Yu-Ran Zhang , Franco Nori , Yan Xia

Geometric phases in quantum mechanics play an extraordinary role in broadening our understanding of fundamental significance of geometry in nature. One of the best known examples is the Berry phase (M.V. Berry (1984), Proc. Royal. Soc.…

Statistical Mechanics · Physics 2012-05-11 V. Gritsev , A. Polkovnikov

We derive closed analytical expressions for the complex Berry phase of an open quantum system in a state which is a superposition of resonant states and evolves irreversibly due to the spontaneous decay of the metastable states. The…

High Energy Physics - Theory · Physics 2008-11-26 A. Mondragon , E. Hernandez

Dynamically varying system parameters along a path enclosing an exceptional point is known to lead to chiral mode conversion. But is it necessary to include this non-Hermitian degeneracy inside the contour for this process to take place? We…

We propose a scheme for realizing two-qubit quantum phase gates via an unconventional geometric phase shift with atoms in a cavity. In the scheme the atoms interact simultaneously with a highly detuned cavity mode and a classical field. The…

Quantum Physics · Physics 2012-02-27 Shi-Biao Zheng

We describe a theoretical scheme that allows for transfer of quantum states of atomic collective excitation between two macroscopic atomic ensembles localized in two spatially-separated domains. The conception is based on the occurrence of…

Quantum Physics · Physics 2018-01-17 Y. Li , Y. X. Miao , C. P. Sun

We put forward the concept of resonant, Rabi-like flopping and adiabatic transitions between confined light modes in properly modulated multimode waveguides. The phenomenon is shown to take place in both, the linear and the nonlinear…

Optics · Physics 2009-11-13 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

Even though the traditional dynamical decoupling methods have the ability to resist dynamic dephasing caused by low frequency noise, they are not appropriate for suppressing the residual geometric dephasing, which arises from the…

Quantum Physics · Physics 2017-03-17 Xiao-Ke Qin , Guang-Can Guo , Zheng-Wei Zhou

In a nondegenerate syste, the abelian Berry's phase will never cause transitions among the Hamiltonian's eigenstate. However, in a degenerate syatem, it is well known that the state transition can be caused by the non-abelian Berry phase.…

Quantum Physics · Physics 2007-05-23 X. B. Wang , K. Matsumoto , H. Fan , A. Tomita , J. W. Pan

We show how a laser driven two-level system including quantized external degrees of freedom for each state can be decoupled into a set of oscillator equations acting only on the external degrees of freedom with operator valued damping…

Quantum Physics · Physics 2025-01-22 Samuel Böhringer , Alexander Friedrich

We study the process of nonlinear stimulated Raman adiabatic passage within a classical mean-fieldframework. Depending on the sign of interaction, the breakdown of adiabaticity in the interactingnonintegrable system is not related to…

Quantum Gases · Physics 2019-01-02 Amit Dey , Doron Cohen , Amichay Vardi

We make use of a superconducting qubit to study the effects of noise on adiabatic geometric phases. The state of the system, an effective spin one-half particle, is adiabatically guided along a closed path in parameter space and thereby…

Quantum Physics · Physics 2013-06-27 S. Berger , M. Pechal , A. A. Abdumalikov , C. Eichler , L. Steffen , A. Fedorov , A. Wallraff , S. Filipp

We propose for the first time an experimentally feasible scheme to disclose the noncommutative effects induced by a light-induced non-Abelian gauge structure with trapped ions. Under an appropriate configuration, a true non-Abelian gauge…

Quantum Physics · Physics 2009-11-13 Xin-Ding Zhang , Z. D. Wang , Liang-Bin Hu , Zhi-Ming Zhang , Shi-Liang Zhu

In the quantum-computation scenario, geometric phase-gates are becoming increasingly attractive for their intrinsic fault tolerance to disturbance. With an adiabatic cyclic evolution, Berry phase appears to realize a geometric…

Quantum Physics · Physics 2022-08-05 Da-tong Chen , Jun Jing

We present a protocol for transferring arbitrary continuous-variable quantum states into a few discrete-variable qubits and back. The protocol is deterministic and utilizes only two-mode Rabi-type interactions which are readily available in…

Quantum Physics · Physics 2022-04-06 Jacob Hastrup , Kimin Park , Jonatan Bohr Brask , Radim Filip , Ulrik Lund Andersen