[HN Gopher] Emergence of a second law of thermodynamics in isola...
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       Emergence of a second law of thermodynamics in isolated quantum
       systems
        
       Author : westurner
       Score  : 129 points
       Date   : 2025-02-02 22:15 UTC (1 days ago)
        
 (HTM) web link (journals.aps.org)
 (TXT) w3m dump (journals.aps.org)
        
       | westurner wrote:
       | ScholarlyArticle: "Emergence of a Second Law of Thermodynamics in
       | Isolated Quantum Systems" (2025)
       | https://journals.aps.org/prxquantum/abstract/10.1103/PRXQuan...
       | 
       | NewsArticle: "Even Quantum Physics Obeys the Law of Entropy"
       | https://www.tuwien.at/en/tu-wien/news/news-articles/news/auc...
       | 
       | NewsArticle: "Sacred laws of entropy also work in the quantum
       | world, suggests study" ... "90-year-old assumption about quantum
       | entropy challenged in new study"
       | https://interestingengineering.com/science/entropy-also-work...
        
       | wills_forward wrote:
       | This paper is basically statistical mechanics with a quantum
       | veneer. Two major issues:
       | 
       | 1. Scale: They're simulating just 13 qubits with QuTiP and making
       | grand claims about quantum thermodynamics. The computational
       | complexity they're glossing over here is astronomical. Anyone
       | who's actually worked with quantum systems knows you can't just
       | handwave away the scaling problems.
       | 
       | 2. Measurement Problem: Their whole argument about instantaneous
       | vs time-averaged measurements is just repackaging the quantum
       | measurement problem without actually solving anything. They're
       | doing the same philosophical shell game that every "breakthrough"
       | quantum paper does by moving around where they put the observer
       | and pretending they've discovered something profound.
        
         | whatshisface wrote:
         | Quantum mechanics is statistical mechanics in the complex
         | numbers.
        
           | carlob wrote:
           | Quantum mechanics is Markov chains in imaginary time.
        
             | teamonkey wrote:
             | Can you explain that?
        
               | diegoperini wrote:
               | State transitions are probabilistic and operators have
               | complex coefficients.
        
               | tsimionescu wrote:
               | State transitions are deterministic, it's only
               | measurement that is probabilistic.
        
               | Filligree wrote:
               | Even that is arguable. Subjective experience is
               | probabilistic... kinda.
        
               | guntars wrote:
               | Do atoms decay deterministically?
        
               | wfewras wrote:
               | I saw the best minds of my generation pithposting on hn.
        
               | Filligree wrote:
               | Yes, aka. continuously. Interactions with larger systems
               | makes it appear discontinuous.
        
               | tsimionescu wrote:
               | As long as they are isolated, their state is a
               | superposition of all possible states, and evolves
               | determinsitically, with the amplitude of each of these
               | "sub-states" evolving perfectly determinsitically. If you
               | want to perform a measurement, you choose a possible
               | decomposition of the superposition state and measure
               | along that axis, and you'll get one of the values along
               | that axis, with a probability that is the modulus of the
               | square of the (complex) amplitude of that value.
        
         | zifk wrote:
         | I disagree with you on both fronts.
         | 
         | 1. The main underpinning of this article is the analytical
         | theory they come up with independent of their simulation. The
         | fact that it explains a few qubits well is exactly why this is
         | interesting. If you were to scale up their model - a spin-1/2
         | ising model, you would effectively get a classical magnet,
         | which is obviously well described by classical thermodynamics.
         | It's in limit of small systems that quantum mechanics makes
         | thermodynamics tricky.
         | 
         | 2. Their time averaging is just to remove fluctuations in the
         | state, not avoid the measurement problem. They're looking at
         | time averages of the density matrix, which still yields a
         | quantum object that will collapse upon measurement. And as
         | their mathematical model points out, this can be true for
         | arbitrary time averaging windows, the limits just change
         | respectively as smaller time averages allow for larger
         | fluctuations. There's nothing being swept under the rug here.
        
       | readthenotes1 wrote:
       | "The second law of thermodynamics states that the entropy of an
       | isolated system can only increase over time. "
       | 
       | Isn't there a difference between "can only increase" and "cannot
       | decrease"?
        
         | goatlover wrote:
         | Over long enough time, fluctuations to lower entropy states
         | will happen, so the jaw is statistical.
        
         | 2rsf wrote:
         | Well, it's the an equal sign missing from one. For the later it
         | can stay the same while it cannot stay the same for the former.
        
       | n00b101 wrote:
       | The trusty laws of thermodynamics strike again
        
       | timewizard wrote:
       | > This implies that for macroscopic systems, the expected time
       | one would be required to wait to observe such a decrease in
       | entropy occurring is unobservably large.
       | 
       | Yea but we have virtual particles and the Casimir effect. Am I
       | wrong or isn't this these perturbations evidencing themselves on
       | a macroscopic scale?
        
         | whatshisface wrote:
         | Perturbations can mean either analogical reasoning (something
         | is similar to something that it could come from with a small
         | change) or actual perturbation (the effect of Venus on the
         | orbit of the moon). Virtual particles are perturbations in the
         | former sense, while quantum fluctuations are a small
         | perturbation in the latter.
        
       | 11101010001100 wrote:
       | The signal to noise at the union of QM and thermodynamics on HN
       | is evidence of regression to the mean.
        
         | abyssin wrote:
         | Why?
        
           | 11101010001100 wrote:
           | The comments on HN are always full of ostensibly deep quips
           | or questions but the work to connect them to scientific or
           | philosophical questions is absent. That's the part that
           | doesn't scale.
        
             | nhatbui wrote:
             | So true, tale as old as time. Someone "raises doubts" based
             | on partial knowledge of the subject, they go back and forth
             | with someone, and then finally someone comes in with
             | conversation-killing "what is consciousness anyways" type
             | comment
        
       | lisper wrote:
       | > Even for isolated systems where, in principle, we could have
       | zero surprisal and access to all possible information...
       | 
       | This makes no sense. How could you have access to "all possible
       | information" in an isolated system? You obviously can't make any
       | measurements, and if the system is prepared, then it's entangled
       | with the system used to prepare it and again cannot be isolated.
       | The whole notion of "an isolated system" is a theoretical fiction
       | that doesn't actually exist in physical reality, but even in
       | theory one cannot access all of the information in an isolated
       | system because of the no-cloning theorem. So this really feels to
       | me like the old joke about spherical chickens.
       | 
       | Furthermore, this seems like an already-solved problem.
       | Constructing classical reality requires copying classical
       | information, and the only way to make that happen is to discard
       | quantum information [1]. That is the source of the Second Law and
       | the arrow of time [2].
       | 
       | [1] https://arxiv.org/abs/quant-ph/9512022
       | 
       | [2] https://blog.rongarret.info/2014/10/parallel-universes-
       | and-a...
        
         | 11101010001100 wrote:
         | As you know, all possible information for an isolated system is
         | obtained via solutions to the Schrodinger equation. This is
         | standard many-body physics.
        
           | lisper wrote:
           | Well, yeah, but that seems like a vacuous observation to me.
           | In order to find solutions to the SE you have to know the
           | initial conditions. How are you going to obtain those for an
           | isolated system? You haven't solved the problem, you have
           | just pushed it backwards in time.
        
             | 11101010001100 wrote:
             | Thermalization (excluding systems which exhibit many body
             | localization and the like) will occur regardless of initial
             | conditions.
        
               | lisper wrote:
               | That is manifestly untrue because the SE is time-
               | reversible. That is the whole problem.
        
               | 11101010001100 wrote:
               | Yes, and at the same time, the statistics of the system
               | can still satisfy thermalization.
        
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