# Adiabaticity - Explore the Science & Experts | ideXlab

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### J. G. Muga – One of the best experts on this subject based on the ideXlab platform.

• ##### shortcuts to Adiabaticity concepts methods and applications
Reviews of Modern Physics, 2019
Co-Authors: David Gueryodelin, E. Torrontegui, Andreas Ruschhaupt, S Martinezgaraot, Anthony Kiely, J. G. Muga
Abstract:

Adiabatic evolution along the instantaneous eigenstate of a time-dependent Hamiltonian is used for robust and high fidelity state transfer in atomic and molecular physics. Shortcuts to Adiabaticity (STA) are systematic approaches to accomplish the same final state transfer in a faster manner. This article presents an introduction to STA and reviews different theoretical approaches and applications of STA to a range of scientific and engineering tasks in quantum physics and beyond.

• ##### energy consumption for shortcuts to Adiabaticity
Physical Review A, 2017
Co-Authors: E. Torrontegui, Andreas Ruschhaupt, I Lizuain, S Gonzalezresines, A Tobalina, Ronnie Kosloff, J. G. Muga
Abstract:

Shortcuts to Adiabaticity let a system reach the results of a slow adiabatic process in a shorter time. We propose to quantify the “energy cost” of the shortcut by the energy consumption of the system enlarged by including the control device. A mechanical model where the dynamics of the system and control device can be explicitly described illustrates that a broad range of possible values for the consumption is possible, including zero (above the adiabatic energy increment) when friction is negligible and the energy given away as negative power is stored and reused by perfect regenerative braking.

• ##### shortcuts to Adiabaticity in optical waveguides using fast quasiadiabatic dynamics
Optics Express, 2017
Co-Authors: S Martinezgaraot, J. G. Muga, Shuo Yen Tseng
Abstract:

We propose a fast quasiadiabatic approach to the design of optical waveguide devices. This approach distributes the system Adiabaticity homogeneously over the device length, thus providing a shortcut to Adiabaticity at a shorter device length. A mode sorting asymmetric Y junction is designed by redistributing the Adiabaticity of a conventional linearly separating Y junction. Simple procedures for the design of fast quasiadiabatic devices are outlined, and the designed Y junction features large bandwidth at a shorter length than the conventional linearly separating Y junction. The proposed device is verified with beam propagation simulations. A mode conversion efficiency of larger than 99% is observed for the designed Y junction over a 220 nm range.

### Xi Chen – One of the best experts on this subject based on the ideXlab platform.

• ##### hermitian and non hermitian shortcuts to Adiabaticity for fast creation of maximum coherence and beam splitting
Journal of the European Optical Society: Rapid Publications, 2020
Co-Authors: Xi Chen, Kai Tang, Chengpu Liu
Abstract:

We theoretically exploit the shortcuts to Adiabaticity (STA) technique in Hermitian and non-Hermitian quantum systems to realize the maximum coherence and beam splitting by eliminating the nonadiabatic coupling. Compared with the conventional adiabatic passage (AP) technique with the Gaussian and Allen-Eberly schemes, the operation time can be significantly shortened by three order using STA technique. This STA-based fast creation of maximum coherence or beam splitting are in use ranging from quantum sensing and metrology in a noisy environment to optical gain/loss coupled waveguides in an analogous fashion.

• ##### shortcuts to Adiabaticity for an interacting bose einstein condensate via exact solutions of the generalized ermakov equation
Chaos, 2020
Co-Authors: Tangyou Huang, Boris A Malomed, Xi Chen
Abstract:

Shortcuts to adiabatic expansion of the effectively one-dimensional Bose-Einstein condensate (BEC) loaded in the harmonic-oscillator (HO) trap are investigated by combining techniques of variational approximation and inverse engineering. Piecewise-constant (discontinuous) intermediate trap frequencies, similar to the known bang-bang forms in the optimal-control theory, are derived from an exact solution of a generalized Ermakov equation. Control schemes considered in the paper include imaginary trap frequencies at short time scales, i.e., the HO potential replaced by the quadratic repulsive one. Taking into regard the BEC’s intrinsic nonlinearity, results are reported for the minimal transfer time, excitation energy (which measures deviation from the effective Adiabaticity), and stability for the shortcut-to-Adiabaticity protocols. These results are not only useful for the realization of fast frictionless cooling, but also help us to address fundamental problems of the quantum speed limit and thermodynamics.

• ##### Shortcuts to Adiabaticity for an interacting Bose-Einstein condensate via exact solutions of the generalized Ermakov equation
'AIP Publishing', 2020
Co-Authors: Huang Tang-you, Malomed, Boris A., Xi Chen
Abstract:

Shortcuts to adiabatic expansion of the effectively one-dimensional Bose-Einstein condensate (BEC) loaded in the harmonic-oscillator (HO) trap is investigated by combining techniques of the variational approximation and inverse engineering. Piecewise-constant (discontinuous) intermediate trap frequencies, similar to the known bang-bang forms in the optimal-control theory, are derived from an exact solution of a generalized Ermakov equation. Control schemes considered in the paper include imaginary trap frequencies at short time scales, i.e., the HO potential replaced by the quadratic repulsive one. Taking into regard the BEC’s intrinsic nonlinearity, results are reported for the minimal transfer time, excitation energy (which measures deviation from the effective Adiabaticity), and stability for the shortcut-to-Adiabaticity protocols. These results are not only useful for the realization of fast frictionless cooling, but also help to address fundamental problems of the quantum speed limit and thermodynamics.Comment: 9 pages, 6 figures, to be published in Chao

### Shuo Yen Tseng – One of the best experts on this subject based on the ideXlab platform.

• ##### Adiabaticity engineering in optical waveguides.
Optics express, 2020
Co-Authors: Fu Chieh Liang, Hung Ching Chung, Shuo Yen Tseng
Abstract:

The fast quasi-adiabatic dynamics (FAQUAD) protocol has proven to be an effective approach to provide shortcuts to adiabatic light evolution in optical waveguides, resulting in short and robust devices. However, the FAQUAD approach of homogeneously distributing device Adiabaticity only works for a single mode (polarization, wavelength, or spatial mode group) system. We propose an Adiabaticity engineering approach to redistribute the Adiabaticity of optical waveguides in multi-mode systems. By engineering the Adiabaticity distribution using a single control parameter, we obtain shortcuts to Adiabaticity in optical waveguides for multi-mode systems. The concept is applied to the design of a compact polarization-independent adiabatic 3-dB coupler on silicon.

• ##### shortcuts to Adiabaticity in optical waveguides using fast quasiadiabatic dynamics
Optics Express, 2017
Co-Authors: S Martinezgaraot, J. G. Muga, Shuo Yen Tseng
Abstract:

We propose a fast quasiadiabatic approach to the design of optical waveguide devices. This approach distributes the system Adiabaticity homogeneously over the device length, thus providing a shortcut to Adiabaticity at a shorter device length. A mode sorting asymmetric Y junction is designed by redistributing the Adiabaticity of a conventional linearly separating Y junction. Simple procedures for the design of fast quasiadiabatic devices are outlined, and the designed Y junction features large bandwidth at a shorter length than the conventional linearly separating Y junction. The proposed device is verified with beam propagation simulations. A mode conversion efficiency of larger than 99% is observed for the designed Y junction over a 220 nm range.

• ##### Optimization of Adiabaticity in coupled-waveguide devices using shortcuts to Adiabaticity.
Optics letters, 2015
Co-Authors: Shuo Yen Tseng
Abstract:

Conventional strategies to design adiabatic coupled-waveguide devices focus on optimizing the system Adiabaticity but can only guarantee 100% efficiency at specific lengths. We establish a simple technique allowing the optimization of device Adiabaticity and ensuring 100% coupling/conversion efficiency at any physically realizable length. Specifically, we use the shortcuts-to-Adiabaticity technique to represent the system state precisely and engineer the system evolution to be as close to the adiabatic state as possible. Smooth parameters are derived for coupled-waveguide devices, which feature good robustness against wavelength and fabrication variations at the same time. The proposed device is verified with beam propagation simulations.

### E. Torrontegui – One of the best experts on this subject based on the ideXlab platform.

• ##### shortcuts to Adiabaticity concepts methods and applications
Reviews of Modern Physics, 2019
Co-Authors: David Gueryodelin, E. Torrontegui, Andreas Ruschhaupt, S Martinezgaraot, Anthony Kiely, J. G. Muga
Abstract:

Adiabatic evolution along the instantaneous eigenstate of a time-dependent Hamiltonian is used for robust and high fidelity state transfer in atomic and molecular physics. Shortcuts to Adiabaticity (STA) are systematic approaches to accomplish the same final state transfer in a faster manner. This article presents an introduction to STA and reviews different theoretical approaches and applications of STA to a range of scientific and engineering tasks in quantum physics and beyond.

• ##### energy consumption for shortcuts to Adiabaticity
Physical Review A, 2017
Co-Authors: E. Torrontegui, Andreas Ruschhaupt, I Lizuain, S Gonzalezresines, A Tobalina, Ronnie Kosloff, J. G. Muga
Abstract:

Shortcuts to Adiabaticity let a system reach the results of a slow adiabatic process in a shorter time. We propose to quantify the “energy cost” of the shortcut by the energy consumption of the system enlarged by including the control device. A mechanical model where the dynamics of the system and control device can be explicitly described illustrates that a broad range of possible values for the consumption is possible, including zero (above the adiabatic energy increment) when friction is negligible and the energy given away as negative power is stored and reused by perfect regenerative braking.

Advances In Atomic, Molecular, and Optical Physics, 2014
Co-Authors: E. Torrontegui, S. Ibáñez, Sofia Martínez-Garaot, Michele Modugno, Aránzazu Del Campo, David Guéry-odelin, Andreas Ruschhaupt, Xi Chen, J. G. Muga
Abstract:

Quantum adiabatic processes–that keep constant the populations in the instantaneous eigenbasis of a time-dependent Hamiltonian–are very useful to prepare and manipulate states, but take typically a long time. This is often problematic because decoherence and noise may spoil the desired final state, or because some applications require many repetitions. “Shortcuts to Adiabaticity” are alternative fast processes which reproduce the same final populations, or even the same final state, as the adiabatic process in a finite, shorter time. Since adiabatic processes are ubiquitous, the shortcuts span a broad range of applications in atomic, molecular, and optical physics, such as fast transport of ions or neutral atoms, internal population control, and state preparation (for nuclear magnetic resonance or quantum information), cold atom expansions and other manipulations, cooling cycles, wavepacket splitting, and many-body state engineering or correlations microscopy. Shortcuts are also relevant to clarify fundamental questions such as a precise quantification of the third principle of thermodynamics and quantum speed limits. We review different theoretical techniques proposed to engineer the shortcuts, the experimental results, and the prospects.

### Christopher Jarzynski – One of the best experts on this subject based on the ideXlab platform.

• ##### semiclassical fast forward shortcuts to Adiabaticity
Physical Review Research, 2021
Co-Authors: Ayoti Patra, Christopher Jarzynski
Abstract:

This paper develops and validates fast-forward shortcuts to Adiabaticity that can be applied to excited energy eigenstates.

• ##### semiclassical fast forward shortcuts to Adiabaticity
arXiv: Quantum Physics, 2021
Co-Authors: Ayoti Patra, Christopher Jarzynski
Abstract:

In fast forward quantum shortcuts to Adiabaticity, a designed potential $U_{FF}(q,t)$ steers a wavefunction to evolve from the $n$’th eigenstate of an initial Hamiltonian $\hat H(0)$ to the $n$’th eigenstate of a final Hamiltonian $\hat H(\tau)$, in finite time $\tau$. Previously proposed strategies for constructing $U_{FF}$ are (in the absence of special symmetries) limited to the ground state, $n=0$. We develop a method that overcomes this limitation, thereby substantially expanding the applicability of this shortcut to Adiabaticity, and we illustrate its effectiveness with numerical simulations. Semiclassical analysis provides insight and establishes a close correspondence with the analogous classical fast forward method.

• ##### shortcuts to Adiabaticity using flow fields
arXiv: Quantum Physics, 2017
Co-Authors: Ayoti Patra, Christopher Jarzynski
Abstract:

A $\textit{shortcut to Adiabaticity}$ is a recipe for generating adiabatic evolution at an arbitrary pace. Shortcuts have been developed for quantum, classical and (most recently) stochastic dynamics. A shortcut might involve a $\textit{counterdiabatic}$ Hamiltonian that causes a system to follow the adiabatic evolution at all times, or it might utilize a $\textit{fast-forward}$ potential, which returns the system to the adiabatic path at the end of the process. We develop a general framework for constructing shortcuts to Adiabaticity from $\textit{flow fields}$ that describe the desired adiabatic evolution. Our approach encompasses quantum, classical and stochastic dynamics, and provides surprisingly compact expressions for both counterdiabatic Hamiltonians and fast-forward potentials. We illustrate our method with numerical simulations of a model system, and we compare our shortcuts with previously obtained results. We also consider the semiclassical connections between our quantum and classical shortcuts. Our method, like the fast-forward approach developed by previous authors, is susceptible to singularities when applied to excited states of quantum systems; we propose a simple, intuitive criterion for determining whether these singularities will arise, for a given excited state.