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The third law of thermodynamics has a controversial past and a number of formulations due to Planck, Einstein, and Nernst. It's most accepted version, the unattainability principle, states that "any thermodynamic process cannot reach the…

Quantum Physics · Physics 2019-11-13 Lluis Masanes , Jonathan Oppenheim

The Principle of Unattainability rules out the attainment of absolute zero temperature by any finite physical means, no matter how idealised they could be. Nevertheless, we clarify that the Third Law of Thermodynamics, as defined by…

Quantum Physics · Physics 2019-08-26 Tien D. Kieu

We have made a simple and natural modification of a recent quantum refrigerator model presented by Cleuren et al. in Phys. Rev, Lett.108, 120603 (2012). The original model consist of two metal leads acting as heat baths, and a set of…

Statistical Mechanics · Physics 2016-03-09 Vegard B. Sørdal , Joakim Bergli , Y. M. Galperin

The third law of thermodynamics, also known as the Nernst unattainability principle, puts a fundamental bound on how close a system, whether classical or quantum, can be cooled to a temperature near to absolute zero. On the other hand, a…

Quantum Physics · Physics 2022-10-04 Lorenzo Buffoni , Stefano Gherardini , Emmanuel Zambrini Cruzeiro , Yasser Omar

The third law of thermodynamics in the form of the unattainability principle states that exact ground-state cooling requires infinite resources. Here we investigate the amount of non-equilibrium resources needed for approximate cooling. We…

Quantum Physics · Physics 2017-11-28 Henrik Wilming , Rodrigo Gallego

Thermodynamics connects our knowledge of the world to our capability to manipulate and thus to control it. This crucial role of control is exemplified by the third law of thermodynamics, Nernst's unattainability principle, which states that…

A minimal model of a quantum refrigerator (QR), i.e. a periodically phase-flipped two-level system permanently coupled to a finite-capacity bath (cold bath) and an infinite heat dump (hot bath), is introduced and used to investigate the…

Quantum Physics · Physics 2012-10-16 Michal Kolář , David Gelbwaser-Klimovsky , Robert Alicki , Gershon Kurizki

We study the asymptotic dynamics of arbitrary linear quantum open systems which are periodically driven while coupled with generic bosonic reservoirs. We obtain exact results for the heat flowing into the network, which are valid beyond the…

Quantum Physics · Physics 2017-02-01 Nahuel Freitas , Juan Pablo Paz

It is sometimes argued that the unattainability of zero temperature is a consequence of the second law of thermodynamics. Historically, the independence of the unattainability of zero temperature from the second law was proven more than 80…

Statistical Mechanics · Physics 2018-04-06 Koun Shirai

The third law of thermodynamics is formulated precisely: all points of the state space of zero temperature $\Gamma_0$ are physically adiabatically inaccessible from the state space of a simple system. In addition to implying the…

Mathematical Physics · Physics 2008-08-22 Walter F. Wreszinski , Elcio Abdalla

Elucidating fundamental limitations inherent in physical systems is a central subject in physics. For important thermodynamic operations such as information erasure, cooling, and copying, resources like time and energetic cost must be…

Statistical Mechanics · Physics 2025-11-14 Tan Van Vu , Keiji Saito

The third law of thermodynamics has been verified experimentally, but how to perfectly express such a law in theory has become a cross-century problematic issue. It is found from the recent researches that by introducing an innovative…

Statistical Mechanics · Physics 2024-06-06 Xiaohang Chen , Shanhe Su , Yinghui Zhou , Jincan Chen

Cooling quantum systems is arguably one of the most important thermodynamic tasks connected to modern quantum technologies and an interesting question from a foundational perspective. It is thus of no surprise that many different…

We study dynamic cooling, where an externally driven two-level system is cooled via reservoir, a quantum system with initial canonical equilibrium state. We obtain explicitly the minimal possible temperature $T_{\rm min}>0$ reachable for…

Statistical Mechanics · Physics 2015-05-28 Armen E. Allahverdyan , Karen V. Hovhannisyan , Dominik Janzing , Guenter Mahler

A corollary of the third law of thermodynamics is that the heat capacities of a system approach zero as the temperature approaches absolute zero Kevin. Many have attempted to take the corollary as the third law, but two counterexamples has…

Statistical Mechanics · Physics 2024-07-22 S. F. Xiao , Q. H. Liu

The zeroth principle of thermodynamics in the form "temperature is uniform at equilibrium" is notoriously violated in relativistic gravity. Temperature uniformity is often derived from the maximization of the total number of microstates of…

General Relativity and Quantum Cosmology · Physics 2014-03-12 Hal M. Haggard , Carlo Rovelli

The preparation of quantum states, especially cooling, is a fundamental technology for nanoscale devices. The past decade has seen important results related to both the limits of state transformation and the limits to their efficiency --…

Quantum Physics · Physics 2024-12-11 Ralph Silva , Pharnam Bakhshinezhad , Fabien Clivaz

We carefully examine the thermodynamic consequences of the repeated partial projection model for coupling a quantum system to an arbitrary series of environments under feedback control. This paper provides observational definitions of heat…

Quantum Physics · Physics 2017-02-01 David M. Rogers

The third law of thermodynamics forbids cooling a physical system to absolute zero in a finite number of operational steps. Although this unattainability principle has been quantified for specific state-to-state transitions, a universal,…

Quantum Physics · Physics 2026-05-01 Tan Van Vu , Keiji Saito

We analyze some aspects of the third law of thermodynamics. We first review both the entropic version (N) and the unattainability version (U) and the relation occurring between them. Then, we heuristically interpret (N) as a continuity…

General Physics · Physics 2016-09-08 F. Belgiorno
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