Avoiding dissipation in a system of three quantum harmonic oscillators

Manzano, Gonzalo; Galve, Fernando; Zambrini, Roberta

doi:10.1103/physreva.87.032114

Cited by 43 publications

(61 citation statements)

References 61 publications

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“…At the microscopic level, mutual synchronization has been studied in different devices, such as arrays of Josephson junctions [5], spin torque nano-oscillators [6], and nanomechanical [7] and optomechanical oscillators [8][9][10][11]. Most of these implementations at micro-and nanoscale have focused on the classical dynamics, while quantum fluctuations and correlations have been analyzed in [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

“…The emergence of spontaneous quantum synchronization has been recently considered for dissipative harmonic oscillators with two major breakthroughs: (i) the possibility to have synchronization induced by dissipation in a linear system and (ii) the full quantumness of this phenomenon (reported for vacuum fluctuations) [12][13][14]. Synchronous dynamics has been reported during the relaxation process, in spite of the diversity of the natural frequencies of a pair of oscillators [12], due to the occurrence of a slowly decaying mode responsible for synchronization accompanied by robust and asymptotic quantum correlations in the system [12,13]. Interestingly, if the oscillators experience losses in separate baths, synchronization does not emerge, independently of the strength of their coupling [12].…”

Section: Introductionmentioning

confidence: 99%

“…Comparing with previous works on synchronization in the quantum regime [8][9][10][11][12][13][14]21], an important difference is that we are going to consider spins that are not directly coupled to each FIG. 1.…”

Section: Introductionmentioning

confidence: 99%

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Spontaneous synchronization and quantum correlation dynamics of open spin systems

et al. 2013

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We discuss the emergence of spontaneous synchronization for an open spin-pair system interacting only via a common environment. Under suitable conditions, and even in the presence of detuning between the natural precession frequencies of the two spins, they are shown to reach a long-lasting transient behavior where they oscillate in phase. We explore the connection between the emergence of such a behavior and the establishment of robust quantum correlations between the two spins, analyzing differences between dissipative and dephasing effects. In particular, in the regime in which synchronization occurs, quantum correlations are more robust for shorter synchronization times and this is related to a separation between system decay rates.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spontaneous synchronization and quantum correlation dynamics of open spin systems

et al. 2013

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“…These measures are based on quadratures of the coupled systems and allow one to extend the notion of phase synchronization to the quantum regime [31]. Additional measures of synchronization open intriguing connections to concepts of quantum information theory [32], such as decoherence-free subspaces [33], quantum discord [34], entanglement [35,36], and mutual information [37]. Despite the intensive theoretical investigation of quantum signatures of synchronized states, to date, studies of the quantum manifestations of chimera states are still lacking.…”

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confidence: 99%

Quantum signatures of chimera states

et al. 2015

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Chimera states are complex spatiotemporal patterns in networks of identical oscillators, characterized by the coexistence of synchronized and desynchronized dynamics. Here we propose to extend the phenomenon of chimera states to the quantum regime, and uncover intriguing quantum signatures of these states. We calculate the quantum fluctuations about semiclassical trajectories and demonstrate that chimera states in the quantum regime can be characterized by bosonic squeezing, weighted quantum correlations, and measures of mutual information. Our findings reveal the relation of chimera states to quantum information theory, and give promising directions for experimental realization of chimera states in quantum systems.PACS numbers: 05.45. Xt,05.30.Rt, 42.50.Lc, 42.65.Sf In classical systems of coupled nonlinear oscillators, the phenomenon of chimera states, which describes the spontaneous emergence of coexisting synchronized and desynchronized dynamics in networks of identical elements, has recently aroused much interest [1]. These intriguing spatio-temporal patterns were originally discovered in models of coupled phase oscillators. In this case, they exist due to nonlocal coupling between identical elements of the ensemble [2, 3]. There has been extensive work on the theoretical investigation of chimera states [4][5][6][7][8][9][10][11][12][13][14][15][16] While synchronization of classical oscillators has been well studied since the early observations of Huygens in the 17th century [26], synchronization in quantum mechanics has only very recently become a focus of interest. For example, quantum signatures of synchronization in a network of globally coupled Van der Pol oscillators have been investigated [27,28]. Related works focus on the dynamical phase transitions of a network of nanomechanical oscillators with arbitrary topologies characterized by a coordination number [29], and the semiclassical quantization of the Kuramoto model by using path integral methods [30].Contrary to classical mechanics, in quantum mechanics the notion of phase-space trajectory is not well defined. As a consequence, one has to define new measures of synchronization for continuous variable systems like optomechanical arrays [29]. These measures are based on quadratures of the coupled systems and allow one to extend the notion of phase synchronization to the quantum regime [31] [35,36], and mutual information [37]. Despite the intensive theoretical investigation of quantum signatures of synchronized states, to date, studies of the quantum manifestations of chimera states are still lacking.In this Letter we study the emergence of chimera states in a network of coupled quantum Van der Pol oscillators. Unlike in previous work [38], we address here the fundamental issue of the dynamical properties of chimera states in a continuous variable system. Considering the chaotic nature of chimera states [11], we study the shorttime evolution of the quantum fluctuations at the Gaussian level. This approach allows us to use powerful tools of quan...

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“…This phenomenon can emerge not only in the well‐known case of systems exhibiting self‐sustained oscillations, but also during transient dynamics . Furthermore, the role played by dissipation and decoherence in synchronization has been explored not only in transient regimes but also in decoherence free subspaces and in the presence of self‐sustained oscillations (in opto‐mechanichal systems). In the case of two coupled qubits, even with different frequencies, with a significant imbalance between their losses, both synchronization and anti‐synchronization can arise depending on the system parameters .…”

Section: Introductionmentioning

confidence: 99%

Machine Learning Applied to Quantum Synchronization‐Assisted Probing

et al. 2019

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A probing scheme is considered with an accessible and controllable qubit, used to probe an out‐of equilibrium system consisting of a second qubit interacting with an environment. Quantum spontaneous synchronization between the probe and the system emerges in this model and, by tuning the probe frequency, can occur both in‐phase and in anti‐phase. The capability of machine learning in this probing scheme is analyzed based on quantum synchronization. An artificial neural network is used to infer, from a probe observable, main dissipation features, such as the environment Ohmicity index. The efficiency of the algorithm in the presence of some noise in the dataset is also considered. It is shown that the performance in either classification and regression is significantly improved due to the in/anti‐phase synchronization transition. This opens the way to the characterization of environments with arbitrary spectral densities.

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Avoiding dissipation in a system of three quantum harmonic oscillators

Cited by 43 publications

References 61 publications

Spontaneous synchronization and quantum correlation dynamics of open spin systems

Spontaneous synchronization and quantum correlation dynamics of open spin systems

Quantum signatures of chimera states

Machine Learning Applied to Quantum Synchronization‐Assisted Probing

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