Thermodynamics in the Quantum Regime, 1st ed. 2018
Fundamental Aspects and New Directions
Fundamental Theories of Physics Series, Vol. 195

Coordinators: Binder Felix, Correa Luis A., Gogolin Christian, Anders Janet, Adesso Gerardo

Language: English

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Quantum Thermodynamics is a novel research field which explores the emergence of thermodynamics from quantum theory and addresses thermodynamic phenomena which appear in finite-size, non-equilibrium and finite-time contexts. Blending together elements from open quantum systems, statistical mechanics, quantum many-body physics, and  quantum information theory, it pinpoints thermodynamic advantages and barriers emerging from genuinely quantum properties such as quantum coherence and correlations. Owing to recent experimental efforts, the field is moving quickly towards practical applications, such as nano-scale heat devices, or thermodynamically optimised protocols for emergent quantum technologies.

Starting from the basics, the present volume reviews some of the most recent developments, as well as some of the most important open problems in quantum thermodynamics. The self-contained chapters provide concise and topical introductions to researchers who are new to thefield. Experts will find them useful as a reference for the current state-of-the-art. In six sections the book covers topics such as quantum heat engines and refrigerators, fluctuation theorems, the emergence of thermodynamic equilibrium, thermodynamics of strongly coupled systems, as well as various information theoretic approaches including Landauer's principle and thermal operations. It concludes with a section dedicated to recent quantum thermodynamics experiments and experimental prospects on a variety of platforms ranging from cold atoms to photonic systems, and NV centres.

Introduction to Quantum Thermodynamics: History and prospects (Robert Alicki and Ronnie Kosloff).- Part I: Continuous and discrete quantum heat device.-  Thermodynamic principles and implementations of quantum machines (Arnab Ghosh, Wolfgang Niedenzu, Victor Mukherjee, and Gershon Kurizki).- Performance of quantum thermodynamic cycles (Tova Feldmann and José P. Palao).- Quantum features and signatures of quantum-thermal machines (Amikam Levy and David Gelbwaser-Klimovsky).- Friction-free quantum machines (Adolfo del Campo, Aurélia Chenu, Shujin Deng, and Haibin Wu).- Physical implementations of quantum absorption refrigerators (Mark Mitchison and Patrick Hofer).- Quantum thermodynamics of nanoscale thermoelectrics and electronic devices (Robert S. Whitney, Rafael Sánchez, and Janine Splettstoesser).- Quantum batteries (Francesco Campaioli, Felix A. Pollock, and Sai Vinjanampathy).-  Quantum rotor engines (Stella Seah, Stefan Nimmrichter, Alexandre Roulet, and Valerio Scarani).- Part II: Fluctuating work and irreversiblity in the quantum regime.- Quantum fluctuation theorems (Ken Funo, Masahito Ueda, and Takahiro Sagawa).- Fluctuating work in coherent quantum systems: proposals and limitations (Elisa Bäumer, Matteo Lostaglio, Martí Perarnau-Llobet, and Rui Sampaio).- The coherent crooks equality (Zoe Holmes).- The role of quantum work statistics in many-body physics (John Goold, Francesco Plastina, Andrea Gambassi, and Alessandro Silva).-  Ancilla-assisted measurement of quantum work (Gabriele De Chiara, Paolo Solinas, Federico Cerisola, and Augusto J. Roncaglia).- Work, heat and entropy production along quantum trajectories (Cyril Elouard and Hamed M.Mohammady).-  Characterizing irreversibility in open quantum systems (Tiago B. Batalhão, Stefano Gherardini, Jader P. Santos, Gabriel T. Landi, and Mauro Paternostro).- Part III: Equilibration and thermalization.-  Dynamical typicality for initial states with a preset measurement statistics of several commuting observables (Ben N. Balz, Jonas Richter, Jochen Gemmer, Robin Steinigeweg, and Peter Reimann).-  Equilibration times in closed quantum many-body systems (H. Wilming, T. R. de Oliveira, A. J. Short, and J. Eisert).- Nonequilibrium many-body quantum dynamics: from full random matrices to real systems (Lea F. Santos, and E. J. Torres-Herrera).- Properties of thermal quantum states: locality of temperature, decay of correlations, and more (Martin Kliesch and Arnau Riera).-  Quantum thermometry (Antonella De Pasquale and Thomas M. Stace).- Part IV: Thermodynamics of strongly-coupled open systems.- Hamiltonian of mean force for strongly-coupled systems (Harry J. D. Miller).-  The reaction coordinate mapping in quantum thermodynamics (Ahsan Nazir and Gernot Schaller).-  Hierarchical Equations of Motion Approach to Quantum Thermodynamics (Akihito Kato and Yoshitaka Tanimura).- Cooling to absolute zero: the unattainability principle (Nahuel Freitas, Rodrigo Gallego, Lluís Masanes, and Juan Pablo Paz).- Part V: Information-theoretic approaches to quantum thermodynamics.- Resource theory of quantum thermodynamics: Thermal operations and Second Laws (Nelly Huei Ying Ng and Mischa Prebin Woods).-  One-shot information-theoretical approaches to fluctuation theorems (Andrew J. P. Garner).- The second law and beyond in microscopic quantum setups (Raam Uzdin).- Information erasure (Toshio Croucher, Jackson Wright, André R. R. Carvalho, Stephen M. Barnett, Joan A. Vaccaro).-  Trade-off between work and correlations in quantum thermodynamics (Giuseppe Vitagliano, Claude Klöckl, Marcus Huber, and Nicolai Friis).-  Quantum thermodynamics with multiple conserved quantities (Erick Hinds-Mingo, Yelena Guryanova, Philippe Faist, and David Jennings).-  Smooth entropy in axiomatic thermodynamics (Mirjam Weilenmann, Lea Krämer Gabriel, and Renato Renner).-  Thermodynamics from information (Manabendra Nath Bera, Andreas Winter, and Maciej Lewenstein).- Part VI: Experimental platforms for quantum thermodynamics.-  One-dimensional atomic superfluids as a model system for quantum thermodynamics (Jörg Schmiedmayer).- Single particle thermodynamics with levitated nanoparticles (James Millen and Jan Giesler).-  Single atom heat engine in a tapered ion trap (Samuel T. Dawkins, Obinna Abah, Kilian Singer, and Sebastian Deffner).-  Quantum thermodynamics in a single-electron box (Jonne V. Koski and Jukka P. Pekola).-  Probing quantum fluctuations of work with a trapped ion (Yao Lu, Shuoming An, Jing-Ning Zhang, and Kihwan Kim).- Maxwell’s demon in photonic systems (Luca Mancino, Mario A. Ciampini, Mihai D. Vidrighin, Marco Sbroscia, Ilaria Gianani, and MarcoBarbieri).- Maxwell’s demon in superconducting systems (Nathanaël Cottet and Benjamin Huard).- NV color centers in diamond as a platform for quantum thermodynamics (Nir Bar-Gill).

This book has been written by over 100 internationally recognized experts in this novel research field. They were invited by the editors based on their expertise. The editors are as follows:

Dr. Felix Binder is an expert on quantum information theoretic approaches to
thermodynamics and also studies quantum models for stochastic processes as well as
quantum correlations. He obtained his DPhil from the University of Oxford and currently
works as a research fellow at Nanyang Technological University in Singapore.

Dr. Luis A. Correa is an expert on open quantum systems interested in the performance
optimisation of quantum thermodynamic cycles (e.g. nano-scale refrigerators and quantum
heat engines). He is also interested in quantum thermometry, or the precise measurement
of ultra-cold temperatures with nano-scale spatialresolution.

Dr. Christian Gogolin is an expert on equilibration and thermalization in closed quantum
systems and has worked on a broad range of topics in quantum many-body and
condensed matter theory, quantum information theory, statistical mechanics, foundations of
quantum mechanics, and several others.

Dr. Janet Anders is an expert in the characterisation of work in the quantum regime and
thermodynamic experiments at the microscale. She has worked on topics in quantum
information theory and quantum thermodynamics, including quantum computation,
entanglement in quantum many-body systems, thermodynamics in the strong coupling
limit, and non-equilibrium dynamics of levitated nanospheres.

Prof. Gerardo Adesso is an expert on quantum information theory and the characterisation
of nonclassical correlations in open quantum systems, including their mathematical
description and
Presents the most up-to-date and comprehensive review of this fast-growing field Suitable for use by researchers but also accessible to interested students at the graduate level as well as quantum engineers in the private sector Covers the most interesting open problems so as to inspire newcomers Explores the most promising experimental platforms for applications to quantum technologies