Thermodynamic analogy for quantum phase transitions at zero temperature
نویسندگان
چکیده
We propose a relationship between thermodynamic phase transitions and groundstate quantum phase transitions in systems with variable Hamiltonian parameters. It is based on a link between zeros of the canonical partition function at complex temperatures and exceptional points of a quantum Hamiltonian in the complexextended parameter space. This approach is applied in the interacting boson model, where it is shown to properly distinguish the firstand second-order phase transitions.
منابع مشابه
Thermodynamic Analogy for Structural Phase Transitions
We investigate the relationship between ground-state (zero-temperature) quantum phase transitions in systems with variable Hamiltonian parameters and classical (temperature-driven) phase transitions in standard thermodynamics. An analogy is found between (i) phase-transitional distributions of the ground-state related branch points of quantum Hamiltonians in the complex parameter plane and (ii)...
متن کاملDiscontinuity of Maximum Entropy Inference and Quantum Phase Transitions
In this paper, we discuss the connection between two genuinely quantum phenomena—the discontinuity of quantum maximum entropy inference and quantum phase transitions at zero temperature. It is shown that the discontinuity of the maximum entropy inference of local observable measurements signals the non-local type of transitions, where local density matrices of the ground state change smoothly a...
متن کاملQuantum criticality at the infinite complete basis set limit: A thermodynamic analog of the Yang and Lee theorem
Finite size scaling for calculations of the critical parameters of the few-body Schrödinger equation is based on taking the number of elements in a complete basis set as the size of the system. We show in an analogy with Yang and Lee theorem, which states that singularities of the free energy at phase transitions occur only in the thermodynamic limit, that singularities in the ground state ener...
متن کاملQuantum catalysis of magnetic phase transitions in a quantum simulator.
We control quantum fluctuations to create the ground state magnetic phases of a classical Ising model with a tunable longitudinal magnetic field using a system of 6 to 10 atomic ion spins. Because of the long-range Ising interactions, the various ground state spin configurations are separated by multiple first-order phase transitions, which in our zero temperature system cannot be driven by the...
متن کاملShort-range interactions and scaling near integer quantum Hall transitions
We study the influence of short-range electron-electron interactions on scaling behavior near the integer quantum Hall plateau transitions. Short-range interactions are known to be irrelevant at the renormalization group fixed point which represents the transition in the noninteracting system. We find, nevertheless, that transport properties change discontinuously when interactions are introduc...
متن کامل