Shortcuts to Adiabaticity for Open Quantum Systems and a Mixed-State Inverse Engineering Scheme

S.L. Wu; W. Ma; X.L. Huang; Xuexi Yi

doi:10.1103/physrevapplied.16.044028

Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution

Quantum ◽

10.22331/q-2020-09-28-336 ◽

2020 ◽

Vol 4 ◽

pp. 336 ◽

Cited By ~ 4

Author(s):

Sahar Alipour ◽

Aurelia Chenu ◽

Ali T. Rezakhani ◽

Adolfo del Campo

Keyword(s):

Open Quantum Systems ◽

Quantum Systems ◽

Quantum Oscillator ◽

Quantum Processes ◽

Open Quantum ◽

Markovian Dynamics ◽

Shortcuts To Adiabaticity ◽

Speed Up ◽

Gain And Loss ◽

Universal Scheme

A universal scheme is introduced to speed up the dynamics of a driven open quantum system along a prescribed trajectory of interest. This framework generalizes counterdiabatic driving to open quantum processes. Shortcuts to adiabaticity designed in this fashion can be implemented in two alternative physical scenarios: one characterized by the presence of balanced gain and loss, the other involves non-Markovian dynamics with time-dependent Lindblad operators. As an illustration, we engineer superadiabatic cooling, heating, and isothermal strokes for a two-level system, and provide a protocol for the fast thermalization of a quantum oscillator.

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Shortcuts to adiabaticity for open systems in circuit quantum electrodynamics

Nature Communications ◽

10.1038/s41467-021-27900-6 ◽

2022 ◽

Vol 13 (1) ◽

Author(s):

Zelong Yin ◽

Chunzhen Li ◽

Jonathan Allcock ◽

Yicong Zheng ◽

Xiu Gu ◽

...

Keyword(s):

Quantum Electrodynamics ◽

Quantum Control ◽

Open Systems ◽

Open Quantum Systems ◽

Quantum Systems ◽

Circuit Quantum Electrodynamics ◽

Open Quantum ◽

Shortcuts To Adiabaticity ◽

Potential Applications ◽

Closed Systems

AbstractShortcuts to adiabaticity are powerful quantum control methods, allowing quick evolution into target states of otherwise slow adiabatic dynamics. Such methods have widespread applications in quantum technologies, and various shortcuts to adiabaticity protocols have been demonstrated in closed systems. However, realizing shortcuts to adiabaticity for open quantum systems has presented a challenge due to the complex controls in existing proposals. Here, we present the experimental demonstration of shortcuts to adiabaticity for open quantum systems, using a superconducting circuit quantum electrodynamics system. By applying a counterdiabatic driving pulse, we reduce the adiabatic evolution time of a single lossy mode from 800 ns to 100 ns. In addition, we propose and implement an optimal control protocol to achieve fast and qubit-unconditional equilibrium of multiple lossy modes. Our results pave the way for precise time-domain control of open quantum systems and have potential applications in designing fast open-system protocols of physical and interdisciplinary interest, such as accelerating bioengineering and chemical reaction dynamics.

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Relaxation of interacting open quantum systems

Uspekhi Fizicheskih Nauk ◽

10.3367/ufnr.2018.06.038359 ◽

2018 ◽

Vol 189 (05) ◽

Author(s):

Vladislav Yu. Shishkov ◽

Evgenii S. Andrianov ◽

Aleksandr A. Pukhov ◽

Aleksei P. Vinogradov ◽

A.A. Lisyansky

Keyword(s):

Open Quantum Systems ◽

Quantum Systems ◽

Open Quantum

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Open quantum systems & decoherence

Physics Subject Headings (PhySH) ◽

10.29172/fce63f544c304bd4b3b61a4d58bdaceb ◽

2018 ◽

Keyword(s):

Open Quantum Systems ◽

Quantum Systems ◽

Open Quantum

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Hamiltonian assignment for open quantum systems

Physical Review Research ◽

10.1103/physrevresearch.2.033251 ◽

2020 ◽

Vol 2 (3) ◽

Author(s):

Eugene F. Dumitrescu ◽

Pavel Lougovski

Keyword(s):

Open Quantum Systems ◽

Quantum Systems ◽

Open Quantum

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Perturbation Analysis of Quantum Reset Models

Journal of Statistical Physics ◽

10.1007/s10955-021-02752-y ◽

2021 ◽

Vol 183 (1) ◽

Author(s):

Géraldine Haack ◽

Alain Joye

Keyword(s):

Steady State ◽

Perturbation Analysis ◽

Open Quantum Systems ◽

Quantum Systems ◽

Markov Semigroup ◽

Coupling Constant ◽

Coupling Term ◽

Open Quantum ◽

Effective Dynamics ◽

A Chain

AbstractThis paper is devoted to the analysis of Lindblad operators of Quantum Reset Models, describing the effective dynamics of tri-partite quantum systems subject to stochastic resets. We consider a chain of three independent subsystems, coupled by a Hamiltonian term. The two subsystems at each end of the chain are driven, independently from each other, by a reset Lindbladian, while the center system is driven by a Hamiltonian. Under generic assumptions on the coupling term, we prove the existence of a unique steady state for the perturbed reset Lindbladian, analytic in the coupling constant. We further analyze the large times dynamics of the corresponding CPTP Markov semigroup that describes the approach to the steady state. We illustrate these results with concrete examples corresponding to realistic open quantum systems.

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Matrix Product State Simulations of Non-Equilibrium Steady States and Transient Heat Flows in the Two-Bath Spin-Boson Model at Finite Temperatures

Entropy ◽

10.3390/e23010077 ◽

2021 ◽

Vol 23 (1) ◽

pp. 77

Author(s):

Angus J. Dunnett ◽

Alex W. Chin

Keyword(s):

Finite Temperature ◽

Open Quantum Systems ◽

Quantum Systems ◽

Steady States ◽

Matrix Product ◽

Open Quantum ◽

Matrix Product State ◽

Wide Range ◽

Boson Model ◽

Non Equilibrium

Simulating the non-perturbative and non-Markovian dynamics of open quantum systems is a very challenging many body problem, due to the need to evolve both the system and its environments on an equal footing. Tensor network and matrix product states (MPS) have emerged as powerful tools for open system models, but the numerical resources required to treat finite-temperature environments grow extremely rapidly and limit their applications. In this study we use time-dependent variational evolution of MPS to explore the striking theory of Tamascelli et al. (Phys. Rev. Lett. 2019, 123, 090402.) that shows how finite-temperature open dynamics can be obtained from zero temperature, i.e., pure wave function, simulations. Using this approach, we produce a benchmark dataset for the dynamics of the Ohmic spin-boson model across a wide range of coupling strengths and temperatures, and also present a detailed analysis of the numerical costs of simulating non-equilibrium steady states, such as those emerging from the non-perturbative coupling of a qubit to baths at different temperatures. Despite ever-growing resource requirements, we find that converged non-perturbative results can be obtained, and we discuss a number of recent ideas and numerical techniques that should allow wide application of MPS to complex open quantum systems.

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Memory Effects in Quantum Dynamics Modelled by Quantum Renewal Processes

Entropy ◽

10.3390/e23070905 ◽

2021 ◽

Vol 23 (7) ◽

pp. 905

Author(s):

Nina Megier ◽

Manuel Ponzi ◽

Andrea Smirne ◽

Bassano Vacchini

Keyword(s):

Quantum Dynamics ◽

Open Quantum System ◽

Open Quantum Systems ◽

Phenomenological Approach ◽

Quantum Systems ◽

Renewal Processes ◽

Continuous Part ◽

Trace Distance ◽

Open Quantum ◽

And Control

Simple, controllable models play an important role in learning how to manipulate and control quantum resources. We focus here on quantum non-Markovianity and model the evolution of open quantum systems by quantum renewal processes. This class of quantum dynamics provides us with a phenomenological approach to characterise dynamics with a variety of non-Markovian behaviours, here described in terms of the trace distance between two reduced states. By adopting a trajectory picture for the open quantum system evolution, we analyse how non-Markovianity is influenced by the constituents defining the quantum renewal process, namely the time-continuous part of the dynamics, the type of jumps and the waiting time distributions. We focus not only on the mere value of the non-Markovianity measure, but also on how different features of the trace distance evolution are altered, including times and number of revivals.

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