Engineering spin-spin interactions with optical tweezers in trapped ions

Espinoza, Juan Diego Arias; Mazzanti, Matteo; Fouka, Katya; Schüssler, Rima X.; Wu, Zhenlin; Corboz, Philippe; Gerritsma, Rene; Safavi-Naini, Arghavan

doi:10.48550/arxiv.2103.10425

Cited by 4 publications

(4 citation statements)

References 37 publications

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“…Throughout the discussion, the dynamics of the mediating dipole field is simply described by the Maxwell equation and the corresponding Green function. Thus, by properly changing to some other field equations, this approach can be generalized to study the interaction mediated by other kinds of fields, such as the excitonpolariton or phonon field [15,24,44,45].…”

Section: Discussionmentioning

confidence: 99%

The field induced magnetic dipolar interaction for general boundary conditions

Li,

Yang

2021

Preprint

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By properly considering the propagation dynamics of the dipole field, we obtain the full magnetic dipolar interaction between two quantum dipoles for general situations. With the help the Maxwell equation and the corresponding Green function, this result applies for general boundary conditions, and naturally unifies all the interaction terms between permanent dipoles, resonant or non-resonant transition dipoles, and even the counter-rotating interaction terms altogether. In particular, we study the dipolar interaction in a rectangular 3D cavity with discrete field modes. When the two dipoles are quite near to each other and far from the cavity boundary, their interaction simply returns the freespace result; when the distance between the two dipoles is comparable to their distance to the cavity boundary and the field mode wavelength, the dipole images and near-resonant cavity modes bring in significant changes to the freespace interaction. This approach also provides a general way to study the interaction mediated by other kinds of fields.

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Section: Discussionmentioning

confidence: 99%

The field induced magnetic dipolar interaction for general boundary conditions

Li,

Yang

2021

Preprint

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“…We shall note that the interaction strength in reality deviates from the powerlaw shape as one moves towards the edges of the ion string. However, it has been shown lately that interactions can be realized more appropriately by applying additional optical tweezers [34]. The Hamiltonian, and the dynamics following the initial states we consider here have already been realized in FIG.…”

Section: Experimental Realizationmentioning

confidence: 94%

Delocalization of quantum information in long-range interacting systems

Wanisch,

Fritzsche

2021

Preprint

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We investigate the delocalization of quantum information in the nonequilibrium dynamics of the XY spin chain with asymptotically decaying interactions ∼ 1/r α . As a figure of merit, we employ the tripartite mutual information (TMI), whose sign indicates if quantum information is predominantly shared globally. Interestingly, the sign of the TMI distinguishes regimes of the exponent α that are known for different behaviour of information propagation. While an effective causal region bounds the propagation of information, if interactions decay sufficiently fast, this information is mainly delocalized, which leads to the necessity of global measurements. Furthermore, the results indicate that mutual information is monogamous for all possible partitionings in this case, implying that quantum entanglement is the dominant correlation. If interactions decay sufficiently slow, though information can propagate (quasi-)instantaneously, it is mainly accessible by local measurements at early times. Furthermore, it takes some finite time until correlations start to become monogamous, which suggests that apart from entanglement, other nonmonogamous correlations are sizeable at early times. Our findings give new insights into the dynamics, and structure of quantum information in many-body systems with long-range interactions, and might get verified on state-of-the-art experimental platforms.

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“…Significant experimental progress has been reported in recent years on both analogue and digital quantum simulators, where e.g. individual atoms or ions, photons, or cold gases are used to simulate other quantum systems [9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

A quantum simulator based on locally controlled logical systems

2023

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In a digital quantum simulator, basic two-qubit interactions are manipulated by means of fast local control operations to establish a desired target Hamiltonian. Here we consider a quantum simulator based on logical systems, i.e. where several physical qubits are used to represent a single logical two-level system to obtain enhanced and simple control over effective interactions between logical systems. Fixed, distance-dependent pairwise interactions between the physical qubits lead to effective interactions between the logical systems, which can be fully controlled solely by the choice of their internal state. This allows one to directly manipulate the topology and strength of effective interactions between logical systems. We show how to choose and generate the required states of logical systems for any desired interaction pattern and topology, how to perform arbitrary logical measurements, and how to obtain full control over single logical systems using only the intrinsic two-body interactions and control of individual physical qubits. This leads to a universal quantum simulator based on logical systems. We discuss the advantages of such a logical quantum simulator over standard ones, including the possibility to reach target topologies that are only accessible with large overheads otherwise. We provide several examples of how to obtain different target interaction patterns and topologies from initial long-ranged or short-ranged qubit-qubit interactions with a specific distance dependence.

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Engineering spin-spin interactions with optical tweezers in trapped ions

Cited by 4 publications

References 37 publications

The field induced magnetic dipolar interaction for general boundary conditions

The field induced magnetic dipolar interaction for general boundary conditions

Delocalization of quantum information in long-range interacting systems

A quantum simulator based on locally controlled logical systems

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