Many-Body Dephasing in a Trapped-Ion Quantum Simulator

Kaplan, Harvey; Guo, Lingzhen; Tan, Wen Lin; De, Amitabha; Marquardt, Florian; Pagano, Guido; Monroe, Christopher

doi:10.1103/physrevlett.125.120605

Cited by 35 publications

(25 citation statements)

References 59 publications

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“…Recent years have witnessed impressive progress in the level of control and precision achieved in synthetic quantum matter. [1][2][3][4] In addition to allowing for the exploration of exotic phenomena such as many-body localization, [5][6][7] the Kibble-Zurek mechanism, [8][9][10][11][12] dynamical phase transitions, [13][14][15] prethermalization, [16][17][18] and many-body dephasing, 19 this technological advancement has facilitated the realization of complex multi-species systems such as lattice gauge theories. [20][21][22][23][24][25][26][27][28][29][30] Not only can this ability enable a possible foray into questions of highenergy physics in inexpensive low-energy tabletop quantum simulators, [31][32][33][34] it also sets the grounds for a standard experimental benchmark for the latter.…”

mentioning

confidence: 99%

Reliability of lattice gauge theories in the thermodynamic limit

Damme¹,

Lang²,

Hauke³

et al. 2021

Preprint

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Although gauge invariance is a postulate in fundamental theories of nature such as quantum electrodynamics, in quantum-simulation implementations of gauge theories it is compromised by experimental imperfections. In a recent work [Halimeh and Hauke, Phys. Rev. Lett. 125, 030503 (2020)], it has been shown in finite-size spin-1/2 quantum link lattice gauge theories that upon introducing an energy-penalty term of sufficiently large strength V , unitary gauge-breaking errors at strength λ are suppressed ∝ λ 2 /V 2 up to all accessible evolution times. Here, we show numerically that this result extends to quantum link models in the thermodynamic limit and with larger spin-S. As we show analytically, the dynamics at short times is described by an adjusted gauge theory up to a timescale that is at earliest τ adj ∝ V /V 3 0 , with V0 an energy factor. Moreover, our analytics predicts that a renormalized gauge theory dominates at intermediate times up to a timescale τren ∝ exp(V /V0)/V0. In both emergent gauge theories, V is volume-independent and scales at worst ∼ S 2 . Furthermore, we numerically demonstrate that robust gauge invariance is also retained through a single-body gauge-protection term, which is experimentally straightforward to implement in ultracold-atom setups and NISQ devices.

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confidence: 99%

Reliability of lattice gauge theories in the thermodynamic limit

Damme¹,

Lang²,

Hauke³

et al. 2021

Preprint

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“…First experiments involve ensemble computing, obtained taking many copies of the reservoir [20], or rely on the use of non-demolition measurements [21]. Several platforms, ranging from trapped-ion quantum simulators [41,58,59], to optical lattices [60,61] to superconducting circuits [62,63], or photonic simulators [64,65] are mature to establish the potential of QRC towards applications, both for classical and quantum time series processing [66].…”

Section: Discussionmentioning

confidence: 99%

Dynamical Phase Transitions in Quantum Reservoir Computing

Martínez-Peña

Giorgi²,

Nokkala³

et al. 2021

Phys. Rev. Lett.

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Closed quantum systems exhibit different dynamical regimes, like Many-Body Localization or thermalization, which determine the mechanisms of spread and processing of information. Here we address the impact of these dynamical phases in quantum reservoir computing, an unconventional computing paradigm recently extended into the quantum regime that exploits dynamical systems to solve nonlinear and temporal tasks. We establish that the thermal phase is naturally adapted to the requirements of quantum reservoir computing and report an increased performance at the thermalization transition. Uncovering the underlying physical mechanisms behind optimal information processing capabilities of spin networks is essential for future experimental implementations and provides a new perspective on dynamical phases.

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“…Usually the laser detuning is µ > ω m , ∀m, giving rise to positive anti-ferromagnetic interactions. However, changing the relative sign of the transverse field h and the spin-spin interaction J 0 gives access to dynamics of both ferromagnetic and anti-ferromagnetic systems [82,[151][152][153]. This holds also in the case of the driven-dissipative dynamics under study, as the Kraus operators defined in Eq.…”

Section: How To Realize Unitary and Non-unitary Evolutionmentioning

confidence: 99%

Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains

Sierant

Chiriacò

Surace

et al. 2022

Quantum

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Quantum systems evolving unitarily and subject to quantum measurements exhibit various types of non-equilibrium phase transitions, arising from the competition between unitary evolution and measurements. Dissipative phase transitions in steady states of time-independent Liouvillians and measurement induced phase transitions at the level of quantum trajectories are two primary examples of such transitions. Investigating a many-body spin system subject to periodic resetting measurements, we argue that many-body dissipative Floquet dynamics provides a natural framework to analyze both types of transitions. We show that a dissipative phase transition between a ferromagnetic ordered phase and a paramagnetic disordered phase emerges for long-range systems as a function of measurement probabilities. A measurement induced transition of the entanglement entropy between volume law scaling and sub-volume law scaling is also present, and is distinct from the ordering transition. The two phases correspond to an error-correcting and a quantum-Zeno regimes, respectively. The ferromagnetic phase is lost for short range interactions, while the volume law phase of the entanglement is enhanced. An analysis of multifractal properties of wave function in Hilbert space provides a common perspective on both types of transitions in the system. Our findings are immediately relevant to trapped ion experiments, for which we detail a blueprint proposal based on currently available platforms.

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Many-Body Dephasing in a Trapped-Ion Quantum Simulator

Cited by 35 publications

References 59 publications

Reliability of lattice gauge theories in the thermodynamic limit

Reliability of lattice gauge theories in the thermodynamic limit

Dynamical Phase Transitions in Quantum Reservoir Computing

Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains

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