Observation of 
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-symmetric quantum coherence in a single-ion system

Wang, Weichen; Zhou, Yan‐Li; Zhang, Huilai; Zhang, Jie; Man-Chao, Zhang,; Xie, Yeming; Wu, Chun-Wang; Chen, Ting; Ou, Bao-Quan; Wu, Wei; Jing, Hui; Chen, Ping-Xing

doi:10.1103/physreva.103.l020201

Cited by 63 publications

(42 citation statements)

References 44 publications

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“…A system of non-interacting single particles was experimentally studied using ultra-cold atoms in [52] and for a single ion in [55,56].…”

Section: Single Particlementioning

confidence: 99%

“…In the PT -symmetric phase, the eigenvalues are real and the elements of the density matrix represent the population of the state with limitations on the Rabi oscillations. When the system parameters are set into the PT -broken region the eigenvalues are complex and the population increases exponentially [55,56].…”

Section: Dynamics and Experimental Implementationmentioning

confidence: 99%

“…Recently, models with Floquet PT -symmetric modulation showed a PT transition in square wave modulation [53,54], and were experimentally demonstrated in a system of noninteracting cold fermions [52]. Experimentally, a single trapped ion was used to investigate the dynamics of PTsymmetric non-Hermitian systems [55,56].…”

Section: Introductionmentioning

confidence: 99%

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Non-Hermitian dynamics and $\mathcal{PT}$-symmetry breaking in interacting mesoscopic Rydberg platforms

Lourenço,

Higgins,

Zhang

et al. 2021

Preprint

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We simulate the dissipative dynamics of a mesoscopic system of long-range interacting particles which can be mapped into non-Hermitian spin models with a PT symmetry. We find rich PTphase diagrams with PT -symmetric and PT -broken phases. The dynamical regimes can be further enriched by modulating tunable parameters of the system. We outline how the PT symmetries of such systems may be probed by studying their dynamics. We note that systems of Rydberg atoms and systems of Rydberg ions with strong dipolar interactions are particularly well suited for such studies. We show that for realistic parameters, long-range interactions allow the emergence of new PT -symmetric regions, generating new PT -phase transitions. In addition, such PT -symmetry phase transitions are found by changing the Rydberg atoms configurations. We monitor the transitions by accessing the populations of the Rydberg states. Their dynamics display oscillatory or exponential dependence in each phase.

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“…A system of non-interacting single particles was experimentally studied using ultra-cold atoms in [52] and for a single ion in [55,56].…”

Section: Single Particlementioning

confidence: 99%

Section: Dynamics and Experimental Implementationmentioning

confidence: 99%

See 1 more Smart Citation

Non-Hermitian dynamics and $\mathcal{PT}$-symmetry breaking in interacting mesoscopic Rydberg platforms

Lourenço,

Higgins,

Zhang

et al. 2021

Preprint

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“…Previous experiments demonstrated single-mode lasing or anti-lasing [27,28], bistable lasing [29], loss-induced transparency or lasing [9,30], EP-enhanced sensing [31][32][33], and PT symmetry breaking [21,22,30,34,35]. Moreover, recent experiments have observed: information flow in PTsymmetric systems [23], protection of quantum coherence in a PT -broken superconducting circuit [36], EP-enhanced coherence and oscillation of coherence in a single ion PTsymmetry system [37], entanglement restoration in a PTsymmetric system using a universal circuit [38], and dynamical features of a triple-qubit system in which one qubit evolves under a local PT -symmetric Hamiltonian [39].…”

Section: Introductionmentioning

confidence: 97%

Experimental demonstration of coherence flow in $\mathcal{PT}$- and anti-$\mathcal{PT}$-symmetric systems

Fang,

Zhao,

Zhang

et al. 2021

Preprint

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Non-Hermitian parity-time (PT ) and anti-parity-time (APT )-symmetric systems exhibit novel quantum properties and have attracted increasing interest. Although many counterintuitive phenomena in PT -and APT -symmetric systems were previously studied, coherence flow has been rarely investigated. Here, we experimentally demonstrate single-qubit coherence flow in PT -and APT -symmetric systems using an optical setup. In the symmetry unbroken regime, we observe different periodic oscillations of coherence. Particularly, we observe two complete coherence backflows in one period in the PT -symmetric system, while only one backflow in the APT -symmetric system. Moreover, in the symmetry broken regime, we observe the phenomenon of stable value of coherence flow. We derive the analytic proofs of these phenomena and show that most experimental data agree with theoretical results within one standard deviation. This work opens avenues for future study on the dynamics of coherence in PT -and APT -symmetric systems.

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“…PT-symmetric Hamiltonians have attracted wide attention due to their interesting features, and numerous studies have been performed including increase or restoration of entanglement by a local PT-symmetric Hamiltonian [12,14], protecting quantum correlations via non-hermitian operations [15], no-signaling principle violation [16,17], observing fast evolution in a PTsymmetric system [18,19] and observing critical phenomena in a PT-symmetric system [20,21]. Recently, it has been shown that quantum coherence is increased in a single-qubit system under PT-symmetric Hamiltonian and maximal quantum coherence is observed at the exceptional point [22,23]. The flow of quantum coherence of a single qubit under PT-symmetric and anti-PTsymmetric Hamiltonians has been demonstrated on an optics system [24].…”

Section: Introductionmentioning

confidence: 99%

Experimental demonstration of the dynamics of quantum coherence evolving under a PT-symmetric Hamiltonian on an NMR quantum processor

Gautam¹,

Dorai²,

Arvind³

2022

Preprint

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In this work, we study the dynamics of quantum coherence (total coherence, global coherence and local coherence) evolving under a local PT-symmetric Hamiltonian in maximally entangled bipartite and tripartite states. Our results indicate that quantum coherence in the bipartite state oscillates in the unbroken phase regime of the PT-symmetric Hamiltonian. Interestingly, in the broken phase regime, while the global coherence decays exponentially, the local and total coherences enter a "freezing" regime where they attain a stable value over time. A similar pattern is observed for the dynamics of total and local coherences in the maximally entangled tripartite state, while the dynamics of global coherence in this state differs from that of the bipartite state. These results were experimentally validated for a maximally entangled bipartite state on a three-qubit nuclear magnetic resonance (NMR) quantum processor, with one of the qubits acting as an ancilla. The experimental results match well with the theoretical predictions, upto experimental errors.

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Observation of PT -symmetric quantum coherence in a single-ion system

Cited by 63 publications

References 44 publications

Non-Hermitian dynamics and $\mathcal{PT}$-symmetry breaking in interacting mesoscopic Rydberg platforms

Non-Hermitian dynamics and $\mathcal{PT}$-symmetry breaking in interacting mesoscopic Rydberg platforms

Experimental demonstration of coherence flow in $\mathcal{PT}$- and anti-$\mathcal{PT}$-symmetric systems

Experimental demonstration of the dynamics of quantum coherence evolving under a PT-symmetric Hamiltonian on an NMR quantum processor

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